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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 36, 1996 - Issue 3
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Original Articles

Integral-functional equations for optimal renovation problems

N. Hritonenko Department of Cybernetics, Kiev University, 6 Glushkov Ave, Kiev, 252127, Ukraine
&
Y. U. Yatsenko Glushkov's Institute of Cybernetics, 40 Glushkov Ave, Kiev, 252207, Ukraine
Pages 249-261 | Published online: 20 Mar 2007

Citations (35)

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Read on this site (5)

Yuri Yatsenko & Natali Hritonenko. (2009) Technological Breakthroughs and Asset Replacement. The Engineering Economist 54:2, pages 81-100.
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NATALI HRITONENKO & YURI YATSENKO. (2008) From Linear to Nonlinear Utility in Vintage Capital Models. Mathematical Population Studies 15:4, pages 230-248.
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N. Hritonenko & Yu Yatsenko. (2008) Optimal control of Solow vintage capital model with nonlinear utility. Optimization 57:4, pages 581-592.
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NATALI HRITONENKO & YURI YATSENKO. (2008) Can Technological Change Sustain Retirement in an Aging Population?. Mathematical Population Studies 15:2, pages 96-113.
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Yuri Yatsenko. (2004) Maximum principle for Volterra integral equations with controlled delay time. Optimization 53:2, pages 177-187.
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Articles from other publishers (30)

Kwonchul Kim, Youngjae Kim, Beopsoo Kim & Insu Kim. (2022) A Study on Optimizing Underground Cable Maintenance and Replacement Cycles. Journal of Electrical Engineering & Technology 17:4, pages 2015-2023.
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R.G.U.I. Meththananda, N.C. Ganegoda, S.S.N. Perera, K.K.W.H. Erandi, Y. Jayathunga & H.O.W. Peiris. (2021) On timeline of enhancing testing-capacity of COVID-19: A case study via an optimal replacement model. Journal of Process Control 105, pages 204-213.
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Yuri Yatsenko & Natali Hritonenko. (2020) Optimal asset replacement: Profit maximization under varying technology. International Journal of Production Economics 228, pages 107670.
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Yuri Yatsenko & Natali Hritonenko. (2017) Machine replacement under evolving deterministic and stochastic costs. International Journal of Production Economics 193, pages 491-501.
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Mauro Bambi, Cristina Di Girolami, Salvatore Federico & Fausto Gozzi. (2015) Generically distributed investments on flexible projects and endogenous growth. Economic Theory 63:2, pages 521-558.
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Raouf Boucekkine, Natali Hritonenko & Yuri Yatsenko. (2013) Optimal Investment in Heterogeneous Capital and Technology Under Restricted Natural Resource. Journal of Optimization Theory and Applications 163:1, pages 310-331.
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RAOUF BOUCEKKINE, NATALI HRITONENKO & YURI YATSENKO. (2014) HEALTH, WORK INTENSITY, AND TECHNOLOGICAL INNOVATIONS. Journal of Biological Systems 22:02, pages 219-233.
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Natali Hritonenko & Yuri Yatsenko. (2013) Solvability of Integral Equations with Endogenous Delays. Acta Applicandae Mathematicae 128:1, pages 49-66.
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NATALI HRITONENKO & YURI YATSENKO. (2013) MODELING OF ENVIRONMENTAL ADAPTATION: AMENITY VERSUS PRODUCTIVITY AND MODERNIZATION. Climate Change Economics 04:02, pages 1350006.
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Natali Hritonenko & Yuri Yatsenko. (2012) Energy substitutability and modernization of energy-consuming technologies. Energy Economics 34:5, pages 1548-1556.
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Natali Hritonenko & Yuri Yatsenko. (2011) Technological modernization under resource scarcity. Optimal Control Applications and Methods 33:3, pages 249-262.
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Yuri Yatsenko & Natali Hritonenko. (2010) Discrete–continuous analysis of optimal equipment replacement. International Transactions in Operational Research 17:5, pages 577-593.
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Natali Hritonenko & Yuri Yatsenko. (2009) Integral equation of optimal replacement: Analysis and algorithms. Applied Mathematical Modelling 33:6, pages 2737-2747.
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Natali Hritonenko & Yuri Yatsenko. (2008) The dynamics of asset lifetime under technological change. Operations Research Letters 36:5, pages 565-568.
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Natali Hritonenko & Yuri Yatsenko. (2008) Anticipation echoes in vintage capital models. Mathematical and Computer Modelling 48:5-6, pages 734-748.
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Yuri Yatsenko & Natali Hritonenko. (2008) Properties of optimal service life under technological change. International Journal of Production Economics 114:1, pages 230-238.
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Yuri Yatsenko. (2008) Hybrid approach to the rational management of machine replacement. Nonlinear Analysis: Hybrid Systems 2:2, pages 335-343.
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Natali Hritonenko & Yuri Yatsenko. (2007) The structure of optimal time- and age-dependent harvesting in the Lotka–McKendrik population model. Mathematical Biosciences 208:1, pages 48-62.
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Yu. Yatsenko & N. Hritonenko. (2006) Network economics and optimal replacement of age-structured IT capital. Mathematical Methods of Operations Research 65:3, pages 483-497.
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Natali Hritonenko & Yuri Yatsenko. (2007) Optimal equipment replacement without paradoxes: A continuous analysis. Operations Research Letters 35:2, pages 245-250.
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Natali Hritonenko & Yuri Yatsenko. (2006) Optimization in a vintage capital model with piecewise linear cost function. Nonlinear Analysis: Theory, Methods & Applications 65:12, pages 2302-2310.
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Natali Hritonenko & Yuri Yatsenko. (2006) Creative destruction of computing systems: analysis and modeling. The Journal of Supercomputing 38:2, pages 143-154.
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Natali Hritonenko & Yuri Yatsenko. (2006) Optimization of Harvesting Return from Age-Structured Population. Journal of Bioeconomics 8:2, pages 167-179.
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Natali Hritonenko & Yuri Yatsenko. (2006) Concavity in a vintage capital model with nonlinear utility. Applied Mathematics Letters 19:3, pages 267-272.
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Yuri Yatsenko. (2005) Non-linear integral models with endogenous delay in economics and finance. Nonlinear Analysis: Theory, Methods & Applications 63:5-7, pages e587-e594.
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Natali Hritonenko. (2005) Nonlinear optimal control of vintage capital lifetime and irreversible investments. Nonlinear Analysis: Theory, Methods & Applications 63:5-7, pages e579-e586.
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N. Hritonenko & Yu. Yatsenko. (2005) Turnpike and Optimal Trajectories in Integral Dynamic Models with Endogenous Delay. Journal of Optimization Theory and Applications 127:1, pages 109-127.
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Natali Hritonenko & Yuri Yatsenko. (2005) Optimization of harvesting age in an integral age-dependent model of population dynamics. Mathematical Biosciences 195:2, pages 154-167.
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Georgios (George) C. Bitros, Natalia Hritonenko & Yuri Yatsenko. (2007) Investment, Replacement and Scrapping in a Vintage Capital Model With Embodied Technological Change. SSRN Electronic Journal.
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Natalia Hritonenko & Yuri Yatsenko. (2011) Sustainable Growth and Modernization Under Environmental Hazard and Adaptation. SSRN Electronic Journal.
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