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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Life Sciences

Google Scholar - Natali Hritonenko

Article

Bifurcations in nonlinear integral models of biological systems

Mathematics Faculty Publications (2007)

N. Hritonenko and Yuri Yatsenko

A bifurcation analysis is suggested for nonlinear integral models of age-distributed biological populations. The analysis shows that the integral model ...

Article

Optimization in a vintage capital model with piecewise linear cost ...

Mathematics Faculty Publications (2006)

Natali Hritonenko and Yuri Yatsenko

The paper investigates a nonlinear optimal control problem for the Volterra integral equations with an unknown function in the lower ...

Article

Creative destruction of computing systems: Analysis and modeling

Mathematics Faculty Publications (2006)

Natali Hritonenko and Yuri Yatsenko

The paper analyzes the problem of rational replacement of computing systems. Such systems, especially high-performance computers, are expensive, but quickly ...

Article

Stability analysis of stochastic Ricker population model

Mathematics Faculty Publications (2006)

Natali Hritonenko, Alexandra Rodkina and Yuri Yatsenko

A stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction ...

Article

Optimization of harvesting return from age-structured population

Mathematics Faculty Publications (2006)

Natali Hritonenko and Yuri Yatsenko

Maximization of the net profit from harvesting in a one-species age-structured population is analyzed. One of the control functions is ...

Article

Concavity in a vintage capital model with nonlinear utility

Mathematics Faculty Publications (2006)

Natali Hritonenko and Yuri Yatsenko

An optimization problem in an economic vintage capital model with nonlinear utility is investigated. It is described by non-linear Volterra ...

Article

Optimization of financial and energy structure of productive capital

Mathematics Faculty Publications (2006)

N. Hritonenko and Y. Yatsenko

Optimal control of special non-linear Volterra integral equations is used to optimize the structure and lifetime of age-dependent productive capital ...

Article

Modeling of technological renovation with combat terrorism goals

Mathematics Faculty Publications (2005)

Natali Hritonenko

An investigation technique for the optimal control problems is discussed. The presence of unknown functions in the limits of integration ...

Article

Nonlinear optimal control of vintage capital lifetime and irreversible investments

Mathematics Faculty Publications (2005)

Natali Hritonenko

Vintage capital models such as Solow model, Ramsey model, two-factor model, and models with endogenous technological change are discussed to ...

Article

Turnpike and ptimal trajectories in integral dynamic models with endogenous ...

Mathematics Faculty Publications (2005)

N. Hritonenko and Yu Yatsenko

Nonlinear optimal control of dynamic systems with endogenous time delays is analyzed. Such systems have important applications and are described ...

Article

Maximum principle for integral dynamic models with endogenous delay

Mathematics Faculty Publications (2005)

N. Hritonenko and Yu Yatsenko

We investigate optimization problems for non-linear integral equations with unknown functions in the limits of integration. Such problems describe the ...

Article

Optimization of harvesting age in an integral age-dependent model of ...

Mathematics Faculty Publications (2005)

Natali Hritonenko and Yuri Yatsenko

The paper deals with optimal control in a linear integral age-dependent model of population dynamics. A problem for maximizing the ...

Article

Structure of optimal trajectories in a nonlinear dynamic model with ...

Mathematics Faculty Publications (2004)

Natali Hritonenko and Yuri Yatsenko

An exact solution is constructed to a nonlinear optimization problem in an integral dynamic model with delay. The problem involves ...

Article

Qualitative analysis of integral dynamic model of age-structured population with ...

Mathematics Faculty Publications (2003)

Natali Hritonenko

A non-linear integral model of a one-species population constructed in the paper takes into acccount the dependence of the population ...

Article

Integral-functional equations for optimal renovation problems

Mathematics Faculty Publications (1996)

N. Hritonenko and Yu Yatsenko

The integral-functional equations with the unknown variable in the upper limit of integration are introduced and studied. They arise in ...

Article

Optimization in integral model of developing systems

Mathematics Faculty Publications (1994)

Y. U. Yatsenko and N. Hritonenko

The paper deals with one optimal control problem for integral dynamical model with unknowns in lower integral limits. The structure ...

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