SelectedWorks - Natali Hritonenko

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Selected Works of Natali Hritonenko

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About Natali Hritonenko

Present	Professor, Prairie View A&M University ‐ Mathematics
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Google Scholar - Natali Hritonenko

Existence of measure-valued solutions in optimal control of age-structured populations

Mathematics Faculty Publications (2021)

Natali Hritonenko, Nobuyuki Kato and Yuri Yatsenko

We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture ...

Optimal asset replacement: Profit maximization under varying technology

Mathematics Faculty Publications (2020)

Yuri Yatsenko and Natali Hritonenko

The paper analyzes a profit-maximizing serial replacement problem under variable asset productivity, operating cost, and replacement cost that depend on ...

Analytics of machine replacement decisions: economic life vs real options

Mathematics Faculty Publications (2020)

Yuri Yatsenko and Natali Hritonenko

Purpose: Despite the existence of multiple asset replacement theories, the economic life replacement method remains a major practical technique for ...

Games with adaptation and mitigation

Mathematics Faculty Publications (2020)

Natali Hritonenko, Victoria Hritonenko and Yuri Yatsenko

We formulate and study a nonlinear game of n symmetric countries that produce, pollute, and spend part of their revenue ...

Non-equal-life asset replacement under evolving technology: A multi-cycle approach

Mathematics Faculty Publications (2020)

Yuri Yatsenko, Natali Hritonenko and Seilkhan Boranbayev

This paper studies the cost-minimizing serial asset replacement problem under changing operating and replacement costs. Technological improvements affect these costs ...

Nonlinear integral models with delays: Recent developments and applications

Mathematics Faculty Publications (2020)

Natali Hritonenko and Yuri Yatsenko

The authors examine contemporary integral dynamic models of biological, environmental, and technological systems with heterogeneous components. The models contain two-dimensional ...

On North-South interaction and environmental adaptation

Mathematics Faculty Publications (2020)

Natali Hritonenko, Yuri Yatsenko and Thierry Bréchet

We offer a simple analytic framework for modelling an asymmetric multi-country world that faces negative impacts of climate change. A ...

Generalized functions in the qualitative study of heterogeneous populations

Mathematics Faculty Publications (2019)

Natali Hritonenko, Yuri Yatsenko and Askar Boranbayev

Solutions from non-smooth functional spaces, including generalized functions and measures, often appear in optimal control theory but are avoided in ...

The dynamics of productive assets, contract duration and holdup

Mathematics Faculty Publications (2019)

Renan Goetz, Yuri Yatsenko, Natali Hritonenko, Angels Xabadia, et al.

The owner of an asset often transfers the right to use or exploit that asset to an agent in exchange ...

Machine replacement under evolving deterministic and stochastic costs

Mathematics Faculty Publications (2017)

Yuri Yatsenko and Natali Hritonenko

The infinite-horizon cost minimization and the real-option stopping problem are used to analyze serial replacement of a single asset under ...

Two-cycle optimization in replacement models with non-exponential technological improvement

Mathematics Faculty Publications (2017)

Yuri Yatsenko and Natali Hritonenko

Optimal asset replacement is analysed under non-exponential technological improvement, whereby the asset capital cost and the operational cost reduce for ...

Optimal Control of Investments in Old and New Capital Under ...

Mathematics Faculty Publications (2017)

Natali Hritonenko, Nobuyuki Kato and Yuri Yatsenko

An optimal control problem for nonlinear integral equations of special kind is analyzed. It considers a firm’s investment into age-dependent ...

Mitigation vs. Adaptation: Analytic Models for Policy Assessment

Mathematics Faculty Publications (2016)

Natali Hritonenko and Yuri Yatsenko

We suggest analytic economic-environmental models that aim to investigate the multi-faced interplay between economic production, industrial pollution, and environmental protection. ...

Asset replacement under improving operating and capital costs: A practical ...

Mathematics Faculty Publications (2016)

Yuri Yatsenko and Natali Hritonenko

We analyse the serial asset replacement problem under incomplete data about technological change that that affects the capital cost, operating ...

Domestic environmental policy and international cooperation for global commons

Mathematics Faculty Publications (2016)

Thierry Bréchet, Natali Hritonenko and Yuri Yatsenko

The paper analyzes the strategic behavior of several countries engaged in capital accumulation, pollution mitigation, and environmental adaptation in the ...

Environmentally sustainable industrial modernization and resource consumption: Is the Hotelling ...

Mathematics Faculty Publications (2015)

Natali Hritonenko, Yuri Yatsenko and Seilkhan Boranbayev

The suggested model describes the optimal management of a manufacturing system (a firm, region, or industry) that consumes a scarce ...

Algorithms for asset replacement under limited technological forecast

Mathematics Faculty Publications (2015)

Yuri Yatsenko and Natali Hritonenko

The optimal asset replacement is analyzed when the future course of technological change is known on a limited future horizon. ...

Modeling of a landlord-tenant agricultural system in the environmental context

Mathematics Faculty Publications (2014)

Natali Hritonenko, Yuri Yatsenko, Renan Ulrich Goetz and Angels Xabadia

A hierarchical economic-environmental model is formulated to analyze the sustainable management of farming production in a landlord-tenant system. The problem ...

Optimal Investment in Heterogeneous Capital and Technology Under Restricted Natural ...

Mathematics Faculty Publications (2014)

Raouf Boucekkine, Natali Hritonenko and Yuri Yatsenko

We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy ...

A numerical method for the controls of the heat equation

Mathematics Faculty Publications (2014)

S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, et al.

This work is devoted to analyze a numerical scheme for the approximation of the linear heat equation's controls. It is ...

A review of optimal chemotherapy protocols: From MTD towards metronomic ...

Mathematics Faculty Publications (2014)

S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, et al.

We review mathematical results about the qualitative structure of chemotherapy protocols that were obtained with the methods of optimal control. ...

Constant versus periodic fishing: Age structured optimal control approach

Mathematics Faculty Publications (2014)

S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, et al.

The paper investigates an age-structured infinite-horizon optimal control model of harvesting a biological resource, interpreted as fish. Time and age ...

Control approach to an ill-posed variational inequality

Mathematics Faculty Publications (2014)

S. Anita, N. Hritonenko, A. Swierniak and G. Marinoschi

We are concerned with the proof of a generalized solution to an ill-posed variational inequality. This is determined as a ...

Editorial: Special issue on analytic modeling in biology and medicine

Mathematics Faculty Publications (2014)

Natali Hritonenko

Evolutionary dynamics of cancer cell populations under immune selection pressure ...

Mathematics Faculty Publications (2014)

S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, et al.

Increasing experimental evidence suggests that epigenetic and microenvironmental factors play a key role in cancer progression. In this respect, it ...