Dr. Natalia Hritonenko – Research


Major Accomplishments

New scientific results in :

  • mathematical modeling
  • optimal control and optimization
  • theory and applications of integral equations and PDEs
  • mathematical economics
  • mathematical biology and population dynamics
  • environmental economics and environmental protection
  • operations research

Publications:

  • five monographs
  • 100 papers on research results and education

Conferences:

  • presentations at international interdisciplinary conferences and university seminars
  • member of conference organizing committees
  • chair and organizer of sessions

Collaborative:

  • international interdisciplinary research

Editorial Activity:

  • member of the editorial board of international interdisciplinary journals
  • editor of special issues and conference proceedings
  • reviewer for journals

NSF DMS: Integral Equations with Delay: Optimal Control and Applications, NSF DMS 1009197, August 1, 2010-July 31, 2012-PI

NSF-DBI: UBM-Institutional: Integrated Undergraduate Research Experiences in Biological and Mathematical Sciences, NSF-DBI-1029401, September 1, 2010-August 31, 2015:

NATO Collaborative Linkage Grant “Optimal Replacement of Information Technologies and Sustainable Development (in Kazakhstan, Ukraine, and USA)”, May 2006-May 2008, Ref 982209: co-PI

NSF-SMET: Science, Technology, Engineering, and Mathematics Enhancement Program, 2003-2010: participant

Gates-Marshall Redesign Project: collaboration of PVAMU with Royal High School Faculty,

NSF-MAA PMET mini-grant, NSF Grant DUE-0230847, Jan. 2005-December 2006: PI

Academy Fellowship, Texas A&M Research Foundation; The Texas A&M university system’s regents’ initiative for excellence in education fellowship, August-December 2004: PI

NSF/AWM Travel Grant to present a talk at the 21st IFIP TC 7 conference on system modeling and optimization (Sophia Antipolis, France), July 2003: PI

Research Enhancement Program at Prairie View A&M University “Preparation of Manuscript for Applied Mathematical Modeling of Engineering Problems”, November 2002 to July 2003: PI

the Marques Who’s Who in Science and Engineering, 10th Ed., 9th Ed.; Who’s Who in American Education, 8th Ed.; Who’s Who in America, 63rd Ed., 62nd Ed.; Who’s Who in the World in, 26th Ed., 25th Anniversary Ed.; Who’s Who of American Women, 27th Ed.; etc. .


Books

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Mathematical Modeling in Economics,Ecology and the Environment
Applied Mathematical Modeling of Engineering Problems
Modeling and Optimization of the Lifetime of Technologies
Mathematical Modeling in Economics,Ecology and the Environment
Optimal Control of Age-Structured Population in Economy,Demography, And the Environment

Selected publications in applied research areas

Mathematical economics; Applied modeling in economics, management, and industry: Vintage Capital models; Modeling of technological change; Resource scarcity; Optimal capital lifetime; Technological progress and economic growth; Development and economic demography; Mathematical and computational methods

  • N. Hritonenko, Yu. Yatsenko, Integral equation of optimal replacement: Analysis and algorithms, Applied Mathematical Modeling, 33(2009), 2737-2747
  • Yu. Yatsenko, R. Boucekkine, N. Hritonenko, On explosive dynamics in R&D-based models of endogenous growth, Nonlinear Analysis Series A: Theory, Methods & Applications, 71(2009), 693-700
  • N. Hritonenko, Yu. Yatsenko, From linear to nonlinear utility in vintage capital models, Mathematical Population Studies, 15:4(2008), 230-248
  • R.U. Goetz, N. Hritonenko, Yu. Yatsenko, The optimal economic lifetime in presence of operating costs, technological progress, and learning, Journal of Economics Dynamics and Control, 32(2008), No.9, 3032-3053
  • N. Hritonenko, Modeling of optimal investment in science and technology, Nonlinear Analysis: Hybrid Systems, 2(2008), No. 2, 220-230
  • N. Hritonenko, Yu. Yatsenko, Anticipation echoes in vintage capital models, Mathematical and Computer Modeling, 48(2008), 734-748
  • N. Hritonenko, Yu. Yatsenko, Optimal control of a vintage capital model with nonlinear utility, Optimization, 57(2008), No.4, 581-592
  • N. Hritonenko, Yu. Yatsenko, Creative destruction of computing systems: analysis and modeling, Journal of Supercomputing, 38 (2006) No 2, 143-154.
  • N. Hritonenko, Yu. Yatsenko, Concavity in a vintage capital model with nonlinear utility, Applied Mathematics Letters, 19 (2006), No 3, 267-272
  • N. Hritonenko, Yu. Yatsenko, Optimization of financial and energy structure of productive capital, IMA Journal of Management Mathematics, 17 (2006), 245-255.

Environmental Sciences: Carbon Sequestration, Climate change, Environmental protection

  • R.U. Goetz, N. Hritonenko, R. Mur, A. Xabadia, Yu. Yatsenko, Forest management and carbon sequestration in size-structured forests: The case of Pinus Sylvestris in Spain, Forest Science, 56-3 (2010), 242-256
  • N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, A bang-bang regime in optimal harvesting of size-structured populations, Nonlinear Analysis, 71(2009), 2331-2336
  • N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, Maximum principle for a size- structured model of forest and carbon sequestration management, Applied Mathematics Letters, 21(2008), No. 10, 1090-1094
  • R.U. Goetz, N. Hritonenko, R. Mur, A. Xabadia, Yu. Yatsenko, Using the escalator boxcar train to determine the optimal management of a size-distributed forest when carbon sequestration is taken into account, in Lecture Notes in Computer Science, LNCS 4818, Eds. I. Lirkov, S. Margenov, and J. Wasniewski, Springer, Berlin, 2008, pp. 334-341

Population biology; Biomathematics: Modeling and optimal control of age- size- dependent population models; bifurcation analysis

  • N. Hritonenko, Yu. Yatsenko, Maintenance of age-structured populations: optimal control, state constraints, and bang-bang regime, Journal of Biological Systems, 4(2009), 793-816
  • N. Hritonenko, Stability analysis of Volterra integral equations with applications to life sciences, Nonlinear Analysis, 71(2009), 2298-2304
  • N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, A bang-bang regime in optimal harvesting of size-structured populations, Nonlinear Analysis, 71(2009), 2331-2336
  • N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, Maximum principle for a size- structured model of forest and carbon sequestration management, Applied Mathematics Letters, 21(2008), No. 10, 1090-1094
  • N. Hritonenko, Yu. Yatsenko, Bifurcations in nonlinear integral models of biological systems, International Journal of Systems Science, 38(2007), No. 5, 389-399
  • N. Hritonenko, Yu. Yatsenko, Structure of optimal age-dependent harvesting in the Lotka-McKendrik population model, Mathematical Biosciences, 208 (2007), No. 1, 48-62
  • N. Hritonenko, Modeling of age-structured populations, International Journal of Ecology and Development, 5 (2006), No F06, 20-26
  • N. Hritonenko, Yu. Yatsenko, Optimization of harvesting return from age-structured population, Journal of Bioeconomics, 8 (2006), No 2, 167-179
  • N. Hritonenko, Integral equations in optimal capital replacement and population control, Dynamics of Continuous, Discrete and Impulsive Systems, Series A 13B (2006), 89-101
  • N. Hritonenko, Yu. Yatsenko, Optimization of harvesting age in an integral age-dependent model of population dynamics, Mathematical Biosciences, 195 (2005), No 2, 154-167

Operations Research: Asset replacement models; Comparative analysis of the continuous and discrete replacement models

  • Yu. Yatsenko, N. Hritonenko, Discrete-continuous analysis of optimal equipment replacement, International Transactions in Operational Research, 17 (2010), 577-593
  • Yu. Yatsenko, N. Hritonenko, Technological breakthroughs and asset replacement, Engineering Economist, 54(2009), 81-100.
  • N. Hritonenko, Yu. Yatsenko, The dynamics of asset lifetime under technological change, Operations Research Letters, 36(2008), 565-568.
  • Yu. Yatsenko, N. Hritonenko, Dynamics of optimal asset service life under technological change, International Journal of Production Economics, 114(2008), 230-238.
  • Yu. Yatsenko, N. Hritonenko, Network economics and optimal replacement of age-structured IT capital, Math. Methods of Operations Research, 65(2007), No. 3, 483-497.
  • N. Hritonenko, Yu. Yatsenko, Optimal equipment replacement without paradoxes: a continuous analysis, Operations Research Letters, 35 (2007), No. 2, 245-250.

Mathematical Education:

    • Ed. Campbell, N. Hritonenko, Integrated approach in teaching trigonometry concepts, Teaching Journal of the ooi Academy, 5 (2005), No 1, 121-129.
    • N. Hritonenko, Student projects in the educational process, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 41 (2004), No.1, 51-52.
    • N. Hritonenko, Logical problems in teaching statistics, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 40 (2003), No.1, 73-76.
    • N. Hritonenko, Mathematics with joy, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 39 (2002), No.2, 9-13.

Selected Presentations

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Selected Talks in 2010-2011:

    • Modeling of Climate Change Impact On Timber Production and Carbon Sequestration Oregon Maseeh Colloquium Series Portland State May 6, 2011
    • Optimal Investments Into Environmental Abatement And Adaptation For Long-Term Climate Policies Department of Mathematics PVAMU colloquium February 11, 2011
    • Sustainable Forest Management, Logging Size, and Carbon Sequestration Under Climate Changes American Mathematical Society Meetings, New Orleans, January 2011
    • Service-Learning in Mathematics Curriculum American Mathematical Society Meetings, New Orleans, January 2011
    • Engaging with policymakers: modelling of the optimal investments into environmental maintenance, abatement, and adaptation for long-term climate policies Isaac Newton Institute, University of Cambridge, UK, December 9, 2010
    • Economic Life asset Replacement Under improving Technology, INFORMS Annual Meeting, Austin, TX, November 7-10, 2010
    • PDE model of the optimal forest management with carbon sequestration and environmental impact 33rd Annual Texas Partial Differential Equations Conference, University of Texas at Austin, TX, April 10-11, 2010
    • Service-Learning in Mathematics Classes Summer-2010 Community Service Learning Professionals Conference, San Antonio, TX, July 29-30,2010

International collaboration

  • Belgium: Department of Economics, Universite Catholique de Louvain
  • Spain: Department of Economics, Universitat de Girona; projects
  • France: Centre de la Vieille Charite, Marseille
  • Ukraine: College of Cybernetics, Kiev State University
  • Kazakhstan: Department of Information Systems, Eurasian National University
  • Greece: Department of Economics, Athens University of Economics and Business
  • Australia: Centre for Industrial and Applied Mathematics, University of South Australia
  • Japan: Department of Mathematics, Shimane University
  • Jamaica: Department of Mathematics and Computer Sciences, University of the West Indies
  • The Netherlands: Faculty of Economics and Business, University of Groningen

International Visits:

    • Université Catholique de Louvain, Brussels, Belgium; supported by Université Catholique de Louvain, Center for Operations Research and Econometrics
      • May 2011
      • July 2010
      • July 2009
      • December 2008
      • November 2006
      • July 2004
    • University of Strasbourg, Strasbourg, France; supported by University of Strasbourg
      • November 2008
    • University of Milan, Milan, Italy; supported by Department of Economics, Business and Statistics, University of Milan
      • September 2008
    • University of Girona, Girona, Spain; supported by the Catalan Agència de Gestió d’Ajuts Universitaris i de Recerca- AGAUR, Grup d’ Investigació en Economia Pública
      • May-June 2008
      • July 2006
    • Eurasian National University, Astana, Kazakhstan; supported by NATO grant 982209
      • May 2008
    • University of South Australia, Adelaida, Australia; supported by Visiting Research Grant of University of South Australia
      • August 2006
    • Kiev State University, Kiev, Ukraine; supported by NATO grant 982209
      • June 2006
      • August 2007
    • European University Institute, Florence, Italy; supported by European University Institute
      • September 2005

 Complete List of Publications

Monographs:

  1. R. Boucekkine, N. Hritonenko, Yu. Yatsenko, Optimal control of age-structured populations in economy, demography, and the environment, Routledge (Taylor & Francis, UK), Series “Environmental Economics”, 2010, 295p
  2. N. Hritonenko, Yu. Yatsenko, Applied mathematical modelling of engineering problems, Kluwer Academic Publishers, Boston/London/Dordrecht, 2003, 308p.
  3. N. Hritonenko, Yu. Yatsenko, Mathematical modeling in economics, ecology and the environment,
    1. Kluwer Academic Publishers, Boston/London/Dordrecht, 1999, 210p.
    2. Republished in Series “Mathematical Masterpieces Abroad”, Science Press, China, 2006, vol. 23.
  4. N. Hritonenko, Yu. Yatsenko, Modeling and optimization of the lifetime of technologies, Kluwer Academic Publishers, Boston/London/Dordrecht, 1996, 290p.

Papers:

  1. R. Boucekkine, N. Hritonenko and Yu. Yatsenko, Scarcity, regulation and endogenous technical progress, accepted to Journal of Mathematical Economics, 2011.
  2. G. Bitros, N. Hritonenko, and Yu. Yatsenko, Abandonment and replacement policies in the optimal management of technologies, accepted to Journal of International Technology and Information Management, 2010.
  3. N. Hritonenko and Yu. Yatsenko, Technological modernization under resource scarcity, accepted to Optimal Control, Applications and Methods, 2011.
  4. N. Hritonenko and Yu. Yatsenko, Technological innovations, economic renovation, and anticipation effects, Journal of Mathematical Economics, 46 (2010) 1064–1078.
  5. N. Hritonenko and Yu. Yatsenko, Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability, Mathematical Population Studies: 17 (2010), 191-214.
  6. R.U. Goetz, N. Hritonenko, R. Mur, A. Xabadia, Yu. Yatsenko, Forest management and carbon sequestration in size-structured forests: The case of Pinus Sylvestris in Spain, Forest Science, 56-3 (2010), 242-256.
  7. Yu. Yatsenko, N. Hritonenko, Discrete-continuous analysis of optimal equipment replacement, International Transactions in Operational Research, 17 (2010), 577-593
  8. N. Hritonenko, Stability analysis of Volterra integral equations with applications to life sciences, Nonlinear Analysis, 71(2009), e2298-e2304.
  9. N. Hritonenko, Yu. Yatsenko, Maintenance of age-structured populations: optimal control, state constraints, and bang-bang regime, Journal of Biological Systems, 4(2009), 793-816.
  10. Yu. Yatsenko, N. Hritonenko, Technological breakthroughs and asset replacement, Engineering Economist, 54(2009), 81-100.
  11. N. Hritonenko, Yu. Yatsenko, Integral equation of optimal replacement: Analysis and algorithms, Applied Mathematical Modeling, 33(2009), 2737-2747.
  12. N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, A bang-bang regime in optimal harvesting of size-structured populations, Nonlinear Analysis, 71(2009), e2331-e2336.
  13. Yu. Yatsenko, R. Boucekkine, N. Hritonenko, On explosive dynamics in R&D-based models of endogenous growth, Nonlinear Analysis Series A: Theory, Methods & Applications, 71(2009), e693-e700.
  14. N. Hritonenko, Yu. Yatsenko, From linear to nonlinear utility in vintage capital models, Mathematical Population Studies, 15:4(2008), 230-248.
  15. N. Hritonenko, Yu. Yatsenko, The dynamics of asset lifetime under technological change, Operations Research Letters, 36(2008), 565-568.
  16. N. Hritonenko, Yu. Yatsenko, R.U. Goetz, A Xabadia, Maximum principle for a size- structured model of forest and carbon sequestration management, Applied Mathematics Letters, 21(2008), No. 10, 1090-1094.
  17. R.U. Goetz, N. Hritonenko, Yu. Yatsenko, The optimal economic lifetime in presence of operating costs, technological progress, and learning, Journal of Economics Dynamics and Control, 32(2008), No.9, 3032-3053.
  18. N. Hritonenko, Modeling of optimal investment in science and technology, Nonlinear Analysis: Hybrid Systems, 2(2008), No. 2, 220-230.
  19. N. Hritonenko, Yu. Yatsenko, Can technological change sustain retirement in an aging population?, Mathematical Population Studies, 15(2008), No.2, 96-113.
  20. N. Hritonenko, Yu. Yatsenko, Anticipation echoes in vintage capital models, Mathematical and Computer Modeling, 48(2008), 734-748.
  21. Yu. Yatsenko, N. Hritonenko, Dynamics of optimal asset service life under technological change, International Journal of Production Economics, 114(2008), 230-238.
  22. N. Hritonenko, Yu. Yatsenko, Optimal control of a vintage capital model with nonlinear utility, Optimization, 57(2008), No.4, 581-592.
  23. Yu. Yatsenko , N. Hritonenko, Network economics and optimal replacement of age-structured IT capital, Mathematical Methods of Operations Research, 65(2007), No. 3, 483-497.
  24. V.I. Kydin, S.I. Lyashko, N.V. Khritonenko, Yu. P. Yatsenko, Analysis of properties of linear systems by method of artificial basis matrices, Kibernetika i Sistemnyi Analiz, 4(2007), No. 4, 119-127 (in Russian), translation in Cybernetics and Systems Analysis, 43 (2007), no. 4, 563-570.
  25. N. Hritonenko, Yu. Yatsenko, Bifurcations in nonlinear integral models of biological systems, International Journal of Systems Science, 38(2007), No. 5, 389-399.
  26. N. Hritonenko, Yu. Yatsenko, Optimal equipment replacement without paradoxes: a continuous analysis, Operations Research Letters, 35 (2007), No. 2, 245-250.
  27. V.I. Kydin, S.I. Lyashko, N.V. Hritonenko, Yu. P. Yatsenko, The method of artificial basis matrices, Reports of the National Academy of Sciences of Ukraine 9(2007), 30-34 (in Ukrainian)
  28. N. Hritonenko, S. Lyashko, Yu. Yatsenko, Replacement of information technologies and sustainable development in the Ukraine, International Journal of Ecology and Development, 6 (2007), 15-21.
  29. N. Hritonenko, Yu. Yatsenko, Structure of optimal age-dependent harvesting in the Lotka-McKendrik population model, Mathematical Biosciences, 208 (2007), No. 1, 48-62.
  30. N. Hritonenko, Modeling of age-structured populations, International Journal of Ecology and Development, 5 (2006), No F06, 20-26.
  31. N. Hritonenko, Yu. Yatsenko, Creative destruction of computing systems: analysis and modeling, Journal of Supercomputing, 38 (2006) No 2, 143-154.
  32. N. Hritonenko, Yu. Yatsenko, Concavity in a vintage capital model with nonlinear utility, Applied Mathematics Letters, 19 (2006), No 3, 267-272.
  33. N. Hritonenko, Yu. Yatsenko, Optimization in a vintage capital model with piecewise linear cost function, Nonlinear Analysis: Theory, Methods, and Applications, 65 (2006) Issue 12, 2302-2310.
  34. N. Hritonenko, Yu. Yatsenko, Optimization of harvesting return from age-structured population, Journal of Bioeconomics, 8 (2006), No 2, 167-179.
  35. N. Hritonenko, Integral equations in optimal capital replacement and population control, Dynamics of Continuous, Discrete and Impulsive Systems, Series A Mathematical Analysis, 13B (2006), 89-101.
  36. N. Hritonenko, Yu. Yatsenko, Optimization of financial and energy structure of productive capital, IMA Journal of Management Mathematics, 17 (2006), No. 3, 245-255.
  37. N. Hritonenko, Al. Rodkina, Yu. Yatsenko, Stability analysis of stochastic Ricker population model, Discrete Dynamics in Nature and Science, (2006), ID 64590.
  38. B. Goldengorin, S. Lyashko, Yu. Yatsenko, N. Hritonenko, The maximization of submodular functions: old and new proofs for the correctness of the dichotomy algorithm, Journal of Computational and Applied Mathematics, Kiev University, Kiev, Ukraine, 93(2005), No. 2, 17-28.
  39. N. Hritonenko, Yu. Yatsenko, Rational financial management of capital renovation in a networked enterprise, International Journal of Operations and Quantitative Management, 11(2005), 3, 175-190.
  40. Yu. Yatsenko, N. Hritonenko, Optimization of the lifetime of capital equipment using integral models, International Journal of Industrial and Management Optimization, 1 (2005), No. 4, 415-432.
  41. N. Hritonenko, Yu. Yatsenko, Turnpike and optimal trajectories in integral dynamic models with endogenous delay, Journal of Optimization Theory and Applications, 127 (2005), No.1, 109-127.
  42. N. Hritonenko, Yu. Yatsenko, Optimization of harvesting age in an integral age-dependent model of population dynamics, Mathematical Biosciences, 195 (2005), No 2, 154-167.
  43. N. Hritonenko, Yu. Yatsenko, Maximum principle for integral dynamic models with endogenous delay, Dynamics of Continuous, Discrete and Impulsive Systems, Series A. Mathematical Analysis, 12(2005), No. 3-4, 469-477.
  44. N. Hritonenko, Optimization analysis of a nonlinear integral model with applications to economics, Nonlinear Studies, 12 (2005), No.1, 59-72.
  45. N. Hritonenko, Nonlinear optimal control of vintage capital lifetime and irreversible investments, Nonlinear Analysis, 63 (2005), e579-e586.
  46. N. Hritonenko, Qualitative analysis of integral dynamic model of age-structured population with intra-species competition, Dynamic Systems & Applications, 4 (2004), 483-487.
  47. N. Hritonenko, Yu. Yatsenko, Non-smooth solutions of a nonlinear integral-functional equation with an unknown delay, Functional Differential Equations, 11 (2004), No.3-4, 395-405.
  48. N. Hritonenko, Yu. Yatsenko, Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay, Journal of Applied Mathematics, 5 (2004), 433-445.
  49. N. Khritonenko, Yu. Yatsenko, Turnpike theorems in integral dynamical model of economic renovation, Cybernetics and System Analysis, 33 (1997), No.2, 259-273.
  50. N. Hritonenko, Yu. Yatsenko, Integral-functional equations for optimal renovation problems, Optimization, 36(1996), No. 3, 249-261.
  51. N. Hritonenko, Yu. Yatsenko, The optimization of the lifetime and cost of equipment under technological progress, Journal of Automat. Inform. Sci., 28 (1995), No.2, 117-128.
  52. Yu. Yatsenko, N. Hritonenko, Optimization in integral model of developing systems, Optimization, 31(1994), No. 2, 179-192.
  53. N. Hritonenko, Yu. Yatsenko, Integral Models of Developing Systems: Some Theoretical and Numerical Aspects, Preprint 94-1 of Cybernetics Institute of Ukr. Acad. Sci., Kiev (1994), 45 p.
  54. N. Hritonenko, Optimization of industrial renovation under given ecological balance, in: Models and Algorithms for Regional Industry and Ecology Control, Akad. Nauk USSR, Inst. Kibernetiki, (Kiev,1993), (1993), 77-82.
  55. K. Semenov, N. Hritonenko, Yu. Yatsenko, Turnpike properties of the optimal periods for the service of funds, Doklady Akad. Nauk Ukrainy.  Series A, Kiev, (1992), No.11, 76-80.
  56. N. Hritonenko, Controllability of nonlinear dynamical system with respect to the Hamiltonian, Boundary Value Problems, Perm. Polytekh. Inst., (1991), 125-132, MR 93m:00017.
  57. N. Hritonenko, V. Rakecski, Minimization of network problem with quadratic arcs by the direct supporting method, Computer Software: Program Library BIM-M, Akad. Nauk BSSR, Inst. Matematiki, (1991), 135-150.
  58. N. Hritonenko, Controllability of the Hamiltonian in Optimization Problems, Ph.D. Thesis, Beloruss. Gos. Univ., Dept of Applied Mathematics, Minsk, (1990), 16 p.
  59. N. Hritonenko, The controllability of the Hamiltonian in a terminal optimal control problem, Vestnik Beloruss. Gos. Univ., Ser. I. Fiz. Mat. Mech., (1990), No.2, 72-74.
  60. N. Hritonenko, R. Gabasov, Hamiltonian controllability in linear-quadratic optimal control problems, Izvestiya Akad. Nauk BSSR, Ser. fiz.-mat., (1989), No.4, 111-122.
  61. N. Hritonenko, R. Gabasov et al., The adaptive method for interval linear programming problem. Part I. Performance criteria, Beloruss. Gos. Univ., (1989), 24 p., VINITI, No.958-B89.
  62. N. Hritonenko, R. Gabasov et al., The adaptive method for interval linear programming problem. Part II. Algorithm, Beloruss. Gos. Univ., (1989), 46 p., VINITI, No.957-B89.
  63. N. Hritonenko, R. Gabasov, Hamiltonian controllability in linear-quadratic optimal control problems, Beloruss. Gos. Univ., (1988), 14 p., VINITI, No.1804-B88.
  64. N. Hritonenko, Hamiltonian controllability in multivariable linear-quadratic optimal control problems, Beloruss. Gos. Univ., (1988), 28 p., VINITI, No.8369-B88.

Papers on Education:

  1. Ed. Campbell, N. Hritonenko, Integrated approach in teaching trigonometry concepts, Teaching Journal of the ooi Academy, 5 (2005), No 1, 121-129.
  2. N. Hritonenko, Student projects in the educational process, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 41 (2004), No.1, 51-52.
  3. N. Hritonenko, Abraham de Moivre DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 40 (2003), No.2, 70-71.
  4. N. Hritonenko, Logical problems in teaching statistics, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 40 (2003), No.1, 73-76.
  5. N. Hritonenko, Mathematics with joy, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 39 (2002), No.2, 9-13.
  6. N. Hritonenko, Analysis of teaching trigonometry in the context of university mathematics, DELTA-K, Journal of the Mathematics Council of the Alberta Teachers’ Association, 34 (1997), No.2, 49-53.

Contributions to books:

  1. R.U. Goetz, N. Hritonenko, R. Mur, A. Xabadia, Yu. Yatsenko, Using the escalator boxcar train to determine the optimal management of a size-distributed forest when carbon sequestration is taken into account, in Lecture Notes in Computer Science, LNCS 4818, Eds. I. Lirkov, S. Margenov, and J. Wasniewski, Springer, Berlin, 2008, pp. 334-341.
  2. N. Hritonenko, Yu. Yatsenko, On a new class on nonlinear integral equations with leads, in Progress in Nonlinear Analysis Research, Ed. Erik T. Hoffmann, Nova Science Publishers, 2008, pp. 35-53.
  3. N. Hritonenko, Yu. Yatsenko, Mathematical models of global trends and technological change, prepared by invitation, in Encyclopedia of Life Support Systems (EOLSS), Ed. Jerzy A. Filar, Developed under the Auspices of the UNESCO, Eolss Publishers, Oxford ,UK, 2007 [http://www.eolss.net]
  4. N. Hritonenko, Yu. Yatsenko, Analysis and optimization of technological development in market economics. Chapter XIII in Recent Mathematical Advances in Optimization and Control. Mathematical and Computational Sciences Series. Eds. John Cagnol and Jean-Paul Zolesio. Presses de l’Ecole des Mines, Paris, France, 2004, pp. 161-172.

Editorials:

  1. N. Hritonenko, Yu. Yatsenko, Editorial. Special Issue: Age- and size-structured population dynamics, Mathematical Population Studies, 15 (2008), No.2, 76-78.
  2. N. Hritonenko, Yu. Yatsenko, Foreword for the special issue “Modelling of evolving systems in economics and life sciences”, International Journal of Ecology and Development, 6 (2007), 5-6.
  3. N. Hritonenko, Yu. Yatsenko, Foreword for the special issue “Modeling of evolving systems in ecology and economics”, International Journal of Ecology and Development, 5 (2006), 1-3.

Papers in Conference Proceedings:

  1. N. Hritonenko, R.U. Goetz, D. Paxton, Sustainable Forest Management, Logging Size, and Carbon Sequestration under Climate Changes, Abstracts of Papers Presented to the American Mathematical Society (New Orleans, January 2011), 32(2011), No.1, p.282 (ISSN 0192-5857)
  2. N. Hritonenko, L. Byars, Al. Lowe,Service-Learning in Mathematics Curriculum, Abstracts of Papers Presented to the American Mathematical Society (New Orleans, January 2011), 32(2011), No.1, p.412 (ISSN 0192-5857)
  3. Yu. Yatsenko and N. Hritonenko, Economic life asset replacement under improving technology, 2010 INFORMS Annual Meeting. November 7-10, 2010, Austin, Texas. INFORMS 2010, p.246
  4. N. Hritonenko, Ed. Mason, and J. Rouse, Creative homework in effective teaching, Abstracts of Papers Presented to the American Mathematical Society (San Diego, January 2008), 29(2008), No.1, p. (ISSN 0192-5857)
  5. N. Hritonenko, R. Goetz, and Yu. Yatsenko, Harvesting in biological populations: models and analysis, Abstracts of Papers Presented to the American Mathematical Society (San Diego, January 2008), 29(2008), No.1, p.210 (ISSN 0192-5857)
  6. Yu. Yatsenko and N. Hritonenko, Discrete and continuous optimization of asset replacement in economics and OR, Abstracts of Papers Presented to the American Mathematical Society (San Diego, January 2008), 29(2008), No.1, p.133 (ISSN 0192-5857)
  7. N. Hritonenko and Yu. Yatsenko, Discrete OR and continuous vintage capital models, Abstracts of Papers Presented to the American Mathematical Society (New Orleans, January 2007), 28(2007), No.1, p.198 (ISSN 0192-5857)
  8. N. Hritonenko, Yu. Yatsenko, Discrete and continuous optimization of asset replacement in economics and OR, 23rd IFIP TC 7 Conference on System Modeling and Optimization. Cracow, Poland, July 23-27, 2007. Book of Abstracts, Akademia Gorniczo-Hutnicza, Krakow, Poland, 2007, pp.184-185.
  9. N. Hritonenko, Modeling of technological renovation with combat terrorism goals, Proceedings of the 2005 International Conference on Scientific Computing, World Congress on Applied Computing, Las Vegas, June 20-23, CSREA Press, USA, (2005) 3-9 (ISBN 1-932415-62-9).
  10. N. Hritonenko, Yu. Yatsenko, Optimization methods for Volterra evolutionary systems and applications, Applications of Mathematics in Engineering and Economics, Proc. 29th International Summer School (June 2003, Sozopol, Bulgaria), Bulvest, Sofia Bulgaria, 2004, 213-218 (ISBN 954-18-0329-6)
  11. Yu. Yatsenko, N. Hritonenko, Rational management of productive capital under technological change, Global Issues of Business, Selected Papers from the 1st International Conference on Business (Athens, Greece, 2003), 1 (2003), 55-65 (ISBN: 960-87822-2-8).
  12. N. Hritonenko, Yu. Yatsenko, Optimization and control by renovation processes of developing systems structure, Second International Seminar on Nonsmooth Problems of Control and Optimization (Chelyabinsk, 1993), Chelyabinsk. Gos. Univ., (1993), 145-146.
  13. N. Hritonenko, On Hamiltonian controllability in complex dynamical system models, Proceedings of All-Union Conference on Mathematical Modeling in Power Engineering(Kiev, 1990), Kiev,2(1993),12-13.
  14. N. Hritonenko, Turnpike theorems for L. Kantorovich’s integral macroeconomic model, Proceedings of International Seminar on Applied Problems of Modeling and Optimization, Akad. Nauk USSR, Inst. Kibernetiki, Kiev, (1992), 217-227, VINITI, No.2628-B92.
  15. N. Hritonenko, Yu. Yatsenko, Nonsmooth optimization problems in integral models of systems with controllable memory, Proceedings of International Seminar on Nonsmooth Problems of Control and Optimization (Vladivostok 1991), Akad. Nauk BSSR, Inst. Matematiki, Minsk, (1991), 45-46.
  16. N. Hritonenko, Hamiltonian controllability in multivariable linear-quadratic optimal control problem with polyhedral restrictions, Proceedings of the 3rd All-Union Conf. on Applied Problems of Macrosystem Control (Apatity, 1989), Akad. Nauk SSSR, Institute of System Research, Moscow, (1990), 89-90.
  17. N. Hritonenko, Controllability of Hamiltonian in multivariable linear dynamical system, Proceedings of the 14th All-Union Seminar on Modeling of Developing Systems (Lvov, 1990), Akad. Nauk USSR, Inst. Kibernet., Kiev, (1990), 203-207, VINITI, No.1877-B90.
  18. N. Hritonenko, Local Hamiltonian controllability in optimal control problem with integral criteria, Proceedings of the third Ukrainian Conference on Integral Equations in Applied Modeling (Odessa, 1989), Akad. Nauk SSSR, Inst. Probl. Model. Energet., Kiev, (1989), 124-125.
  19. N. Hritonenko, Modeling of optimal control system of ship engine, Proceedings of Belorussian Conference on Applications of Informatics and Computer Technology, Minsk, (1989), 24-25.
  20. N. Hritonenko, Controllability of Hamiltonian in optimal control problems with quadratic criteria, Proceedings of Belorussian Conference on Actual Problems of Informatics, Minsk, (1988), 31-32.

 

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