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On Regularization of an Optimal Control Problem for Ill-Posed Nonlinear Elliptic Equations

Abstract and applied analysis, 2020, Vol.2020 (2020), p.1-15

2020

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Approximation Methods in Optimization of Nonlinear Systems

1, 2019

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On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration

Mathematical methods in the applied sciences, 2022-01, Vol.45 (2), p.770-792

2022

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On a Variational Problem with a Nonstandard Growth Functional and Its Applications to Image Processing

Journal of mathematical imaging and vision, 2023-06, Vol.65 (3), p.472-491

2023

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On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients

Discrete and continuous dynamical systems. Series A, 2014-05, Vol.34 (5), p.2105-2133

I. Kogut, Peter

2014

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How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem

Journal of optimization, differential equations and their applications (Online), 2023-09, Vol.31 (2), p.89-114

2023

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Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP

Journal of optimization, differential equations and their applications (Online), 2023-04, Vol.31 (1), p.95-110

2023

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Optimal boundary control problem for ill‐posed elliptic equation in domains with rugous boundary. Existence result and optimality conditions

Optimal control applications & methods, 2021-01, Vol.42 (1), p.30-53

2021

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Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary

Asymptotic analysis, 2020-01, Vol.118 (3), p.209-234

2020

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Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

Journal of optimization, differential equations and their applications (Online), 2022-08, Vol.30 (2), p.89-121

2022

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On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions

Approximation Methods in Optimization of Nonlinear Systems, 2019, Vol.32 (1), p.164-210

2019

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Finding the Zeros of a High-Degree Polynomial Sequence

Journal of optimization, differential equations and their applications (Online), 2021-12, Vol.29 (2), p.119-131

2021

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On approximate solutions to the Neumann elliptic boundary value problem with non-linearity of exponential type

Boundary value problems, 2016-11, Vol.2016 (1), p.1-32, Article 208

2016

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Solutions to a Simplified Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy

Journal of optimization, differential equations and their applications (Online), 2021-04, Vol.29 (1), p.1-31

2021

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On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

Journal of optimization, differential equations and their applications (Online), 2021-10, Vol.29 (2), p.92-118

2021

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The Exact Bounded Solution to an Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy. I. Separation of Variables

Journal of optimization, differential equations and their applications (Online), 2020-12, Vol.28 (2), p.2-20

2020

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Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar

Journal of optimization, differential equations and their applications (Online), 2020-12, Vol.28 (2), p.47-79

2020

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On relaxation of state constrained optimal control problem for a PDE-ODE model of supply chains

Networks and heterogeneous media, 2014, Vol.9 (3), p.501-518

2014

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On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution

Journal of optimization, differential equations and their applications (Online), 2021-06, Vol.29 (1), p.54-78

2021

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ON AN INITIAL BOUNDARY-VALUE PROBLEM FOR 1D HYPERBOLIC EQUATION WITH INTERIOR DEGENERACY: SERIES SOLUTIONS WITH THE CONTINUOUSLY DIFFERENTIABLE FLUXES

Journal of optimization, differential equations and their applications (Online), 2020-04, Vol.28 (1), p.1-42

2020

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On boundary optimal control problem for an arterial system: Existence of feasible solutions

Journal of evolution equations, 2018-12, Vol.18 (4), p.1745-1786

2018

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On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms

Journal of Control Science and Engineering, 2010-01, Vol.2010, p.126-135

2010

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A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS

Journal of optimization, differential equations and their applications (Online), 2019-12, Vol.27 (2), p.1-22

2019

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Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage

Mathematical methods in the applied sciences, 2015-09, Vol.38 (13), p.2739-2760

2015

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ON OPTIMAL 2-D DOMAIN SEGMENTATION PROBLEM VIA PIECEWISE SMOOTH APPROXIMATION OF A SELECTIVE TARGET MAPPING

Journal of optimization, differential equations and their applications (Online), 2019-12, Vol.27 (2), p.60-95

2019

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On Regularization of an Optimal Control Problem for Ill-Posed Nonlinear Elliptic Equations

Approximation Methods in Optimization of Nonlinear Systems

On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration

On a Variational Problem with a Nonstandard Growth Functional and Its Applications to Image Processing

On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients

How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem

Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP

Optimal boundary control problem for ill‐posed elliptic equation in domains with rugous boundary. Existence result and optimality conditions

Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary

Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions

Finding the Zeros of a High-Degree Polynomial Sequence

On approximate solutions to the Neumann elliptic boundary value problem with non-linearity of exponential type

Solutions to a Simplified Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy

On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

The Exact Bounded Solution to an Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy. I. Separation of Variables

Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar

On relaxation of state constrained optimal control problem for a PDE-ODE model of supply chains

On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution

ON AN INITIAL BOUNDARY-VALUE PROBLEM FOR 1D HYPERBOLIC EQUATION WITH INTERIOR DEGENERACY: SERIES SOLUTIONS WITH THE CONTINUOUSLY DIFFERENTIABLE FLUXES

On boundary optimal control problem for an arterial system: Existence of feasible solutions

On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms

A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS

Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage

ON OPTIMAL 2-D DOMAIN SEGMENTATION PROBLEM VIA PIECEWISE SMOOTH APPROXIMATION OF A SELECTIVE TARGET MAPPING

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