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Submissions from 2021

Existence of measure-valued solutions in optimal control of age-structured populations, Natali Hritonenko, Nobuyuki Kato, and Yuri Yatsenko

Submissions from 2020

Games with adaptation and mitigation, Natali Hritonenko, Victoria Hritonenko, and Yuri Yatsenko

Nonlinear integral models with delays: Recent developments and applications, Natali Hritonenko and Yuri Yatsenko

On North-South interaction and environmental adaptation, Natali Hritonenko, Yuri Yatsenko, and Thierry Bréchet

Analytics of machine replacement decisions: economic life vs real options, Yuri Yatsenko and Natali Hritonenko

Optimal asset replacement: Profit maximization under varying technology, Yuri Yatsenko and Natali Hritonenko

Non-equal-life asset replacement under evolving technology: A multi-cycle approach, Yuri Yatsenko, Natali Hritonenko, and Seilkhan Boranbayev

Submissions from 2019

The dynamics of productive assets, contract duration and holdup, Renan Goetz, Yuri Yatsenko, Natali Hritonenko, Angels Xabadia, and Awudu Abdulai

Generalized functions in the qualitative study of heterogeneous populations, Natali Hritonenko, Yuri Yatsenko, and Askar Boranbayev

Submissions from 2017

Optimal Control of Investments in Old and New Capital Under Improving Technology, Natali Hritonenko, Nobuyuki Kato, and Yuri Yatsenko

Machine replacement under evolving deterministic and stochastic costs, Yuri Yatsenko and Natali Hritonenko

Two-cycle optimization in replacement models with non-exponential technological improvement, Yuri Yatsenko and Natali Hritonenko

Submissions from 2016

Domestic environmental policy and international cooperation for global commons, Thierry Bréchet, Natali Hritonenko, and Yuri Yatsenko

Mitigation vs. Adaptation: Analytic Models for Policy Assessment, Natali Hritonenko and Yuri Yatsenko

Asset replacement under improving operating and capital costs: A practical approach, Yuri Yatsenko and Natali Hritonenko

Submissions from 2015

Environmentally sustainable industrial modernization and resource consumption: Is the Hotelling's rule too steep?, Natali Hritonenko, Yuri Yatsenko, and Seilkhan Boranbayev

Algorithms for asset replacement under limited technological forecast, Yuri Yatsenko and Natali Hritonenko

Submissions from 2014

Local controllability of models of combined anticancer therapy with delays in control, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, A. Åšwierniak, and J. Klamka

Constant versus periodic fishing: Age structured optimal control approach, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, A. O. Belyakov, and V. M. Veliov

Optimal sustainable policies under pollution ceiling: The demographic side, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, R. Boucekkine, B. Martinez, and J. R. Ruiz-Tamarit

A numerical method for the controls of the heat equation, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, I. F. Bugariu, and S. Micu

Evolutionary dynamics of cancer cell populations under immune selection pressure and optimal control of chemotherapy, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, G. Dimitriu, T. Lorenzi, and R. Stefanescu

Optimal vaccination, treatment, and preventive campaigns in regard to the SIR epidemic model, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, E. V. Grigorieva, and E. N. Khailov

Linear size-structured population models with spacial diffusion and optimal harvesting problems, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, and N. Kato

A review of optimal chemotherapy protocols: From MTD towards metronomic therapy, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, U. Ledzewicz, and H. Schättler

Optimal control in coupled within-host and between-host models, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, E. Numfor, S. Bhattacharya, S. Lenhart, and M. Martcheva

Optimal protocols for the anti-VEGF tumor treatment, S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, J. Poleszczuk, M. J. Piotrowska, and U. Foryś

Control approach to an ill-posed variational inequality, S. Anita, N. Hritonenko, A. Swierniak, and G. Marinoschi

Modeling of environmental adaptation versus pollution mitigation, S. Anita, G. Marinoschi, A. Swierniak, Y. Yatsenko, N. Hritonenko, N. Hritonenko, and T. Bréchet

Health, work intensity, and technological innovations, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Optimal Investment in Heterogeneous Capital and Technology Under Restricted Natural Resource, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Editorial: Special issue on analytic modeling in biology and medicine, Natali Hritonenko

Modeling of a landlord-tenant agricultural system in the environmental context, Natali Hritonenko, Yuri Yatsenko, Renan Ulrich Goetz, and Angels Xabadia

Zero-stabilization for some diffusive models with state constraints, N. Hritonenko, G. Marinoschi, A. Swierniak, S. Aniţa, and S. Aniţa

Preface, A. Swierniak, S. Aniţa, S. Aniţa, N. Hritonenko, N. Hritonenko, G. Marinoschi, G. Marinoschi, and A. Swierniak

Submissions from 2013

Introduction: Age-structured modeling: Past, present, and new perspectives, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Optimal control of age- structured populations in economy, demography, and the environment, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Preface, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Adaptation and Mitigation in Long-term Climate Policy, Thierry Bréchet, Natali Hritonenko, and Yuri Yatsenko

Forest carbon sequestration as a policy option under climate change, Renan Ulrich Goetz, Natali Hritonenko, Ruben Mur, Àngels Xabadia, and Yuri Yatsenko

Forest management for timber and carbon sequestration in the presence of climate change: The case of Pinus Sylvestris, Renan Ulrich Goetz, Natali Hritonenko, Ruben Mur, Àngels Xabadia, and Yuri Yatsenko

Optimal harvesting in forestry: Steady-state analysis and climate change impact, Natali Hritonenko, Yatsenko Yatsenko, Renan Ulrich Goetz, and Angels Xabadia

Modeling of environmental adaptation: Amenity versus productivity and modernization, Natali Hritonenko and Yuri Yatsenko

Solvability of integral equations with endogenous delays, Natali Hritonenko and Yuri Yatsenko

Submissions from 2012

Energy substitutability and modernization of energy-consuming technologies, Natali Hritonenko and Yuri Yatsenko

Fleet replacement under technological shocks, Natali Hritonenko and Yuri Yatsenko

Technological modernization under resource scarcity, Natali Hritonenko and Yuri Yatsenko

Sustainable dynamics of size-structured forest under climate change, Natali Hritonenko, Yuri Yatsenko, Renan Ulrich Goetz, and Angels Xabadia

Bang-bang, impulse, and sustainable harvesting in age-structured populations, N. Hritonenko and Yu Yatsenko

Submissions from 2011

Scarcity, regulation and endogenous technical progress, Raouf Boucekkine, Natali Hritonenko, and Yuri Yatsenko

Economic life replacement under improving technology, Yuri Yatsenko and Natali Hritonenko

Submissions from 2010

Forest management and carbon sequestration in size-structured forests: The case of Pinus sylvestris in Spain, Renan Ulrich Goetz, Natali Hritonenko, Ruben Javier Mur, Angels Xabadia, and Yuri Yatsenko

Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability, Natali Hritonenko and Yuri Yatsenko

Technological innovations, economic renovation, and anticipation effects, Natali Hritonenko and Yuri Yatsenko

Discrete–continuous analysis of optimal equipment replacement, Yuri Yatsenko and Natali Hritonenko

Submissions from 2009

Stability analysis of Volterra integral equations with applications to age-structured population models, Natali Hritonenko

Integral equation of optimal replacement: Analysis and algorithms, Natali Hritonenko and Yuri Yatsenko

Maintenance of age-structured populations: Optimal control, state constraints, and bang bang regime, Natali Hritonenko and Yuri Yatsenko

A bang-bang regime in optimal harvesting of size-structured populations, Natali Hritonenko, Yuri Yatsenko, Renan Ulrich Goetz, and Angels Xabadia

On explosive dynamics in R&D-based models of endogenous growth, Yuri Yatsenko, Raouf Boucekkine, and Natali Hritonenko

Technological breakthroughs and asset replacement, Yuri Yatsenko and Natali Hritonenko

Submissions from 2008

Using the Escalator Boxcar Train to determine the optimal management of a size-distributed forest when carbon sequestration is taken into account, Renan Goetz, Natali Hritonenko, Angels Xabadia, and Yuri Yatsenko

The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning, Renan Ulrich Goetz, Natali Hritonenko, and Yuri Yatsenko

Modeling of optimal investment in science and technology, Natali Hritonenko

Anticipation echoes in vintage capital models, Natali Hritonenko and Yuri Yatsenko

Can technological change sustain retirement in an aging population?, Natali Hritonenko and Yuri Yatsenko

From linear to nonlinear utility in vintage capital models, Natali Hritonenko and Yuri Yatsenko

Special issue: Age- and size-structured population dynamics, Natali Hritonenko and Yuri Yatsenko

The dynamics of asset lifetime under technological change, Natali Hritonenko and Yuri Yatsenko

Maximum principle for a size-structured model of forest and carbon sequestration management, Natali Hritonenko, Yuri Yatsenko, Renan Ulrich Goetz, and Angels Xabadia

Optimal control of Solow vintage capital model with nonlinear utility, N. Hritonenko and Y. U. Yatsenko

Properties of optimal service life under technological change, Yuri Yatsenko and Natali Hritonenko

Submissions from 2007

Optimal equipment replacement without paradoxes: A continuous analysis, Natali Hritonenko and Yuri Yatsenko

The structure of optimal time- and age-dependent harvesting in the Lotka-McKendrik population model, Natali Hritonenko and Yuri Yatsenko

Bifurcations in nonlinear integral models of biological systems, N. Hritonenko and Yuri Yatsenko

Analysis of the properties of a linear system using the method of artificial basis matrices, V. I. Kudin, S. I. Lyashko, N. V. Khritonenko, and Yu P. Yatsenko

Network economics and optimal replacement of age-structured IT capital, Yu Yatsenko and N. Hritonenko

Submissions from 2006

Stability analysis of stochastic Ricker population model, Natali Hritonenko, Alexandra Rodkina, and Yuri Yatsenko

Concavity in a vintage capital model with nonlinear utility, Natali Hritonenko and Yuri Yatsenko

Creative destruction of computing systems: Analysis and modeling, Natali Hritonenko and Yuri Yatsenko

Optimization in a vintage capital model with piecewise linear cost function, Natali Hritonenko and Yuri Yatsenko

Optimization of harvesting return from age-structured population, Natali Hritonenko and Yuri Yatsenko

Optimization of financial and energy structure of productive capital, N. Hritonenko and Y. Yatsenko

Submissions from 2005

Proceedings of the 2005 International Conference on Scientific Computing, CSC'05: Foreword, Hamid Abachi, Iyad A. Ajwa, Tarek Alameldin, Jaafar M. Alghazo, Hamid R. Arabnia, Martine Ceberio, Zizhong Chen, Petr Ya Ekel, G. A. Gravvanis, Ahmad Harb, Natalia Hritonenko, Hatsuhiko Kato, Kuan Ching Li, Weidong Liao, Johannes Mayer, Youngsong Mun, R. Ponalagusamy, K. Subramani, Weitao Sun, S. Vasikarla, Layne T. Watson, and Yuri Yatsenko

Modeling of technological renovation with combat terrorism goals, Natali Hritonenko

Nonlinear optimal control of vintage capital lifetime and irreversible investments, Natali Hritonenko

Optimization of harvesting age in an integral age-dependent model of population dynamics, Natali Hritonenko and Yuri Yatsenko

Maximum principle for integral dynamic models with endogenous delay, N. Hritonenko and Yu Yatsenko

Turnpike and ptimal trajectories in integral dynamic models with endogenous delay, N. Hritonenko and Yu Yatsenko

Submissions from 2004

Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay, Natali Hritonenko and Yuri Yatsenko

Submissions from 2003

Qualitative analysis of integral dynamic model of age-structured population with intra-species competition, Natali Hritonenko

Submissions from 1996

Integral-functional equations for optimal renovation problems, N. Hritonenko and Yu Yatsenko

Submissions from 1994

Optimization in integral model of developing systems, Y. U. Yatsenko and N. Hritonenko