Olha P. Kupenko
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Olha P. Kupenko has a total of 23 co-authors. Here are the top co-authors by number of shared publications:
- Peter I. Kogut
Oles Honchar Dnipro National University
15 shared publications - Rosanna Manzo
Department of Political and Communication Sciences, University of Salerno, Fisciano, Italy
10 shared publications - Günter Leugering
Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and Speinshart Center for AI and SuperTech
3 shared publications - Tiziana Durante
University of Salerno, Department of Information Engineering, Electrical Engineering and Applied Mathematics, Via Giovanni Paolo II, 132, 84084 Fisciano (SA), Italy
2 shared publications - Ciro D'Apice
University of Salerno
1 shared publication - Ciro D’aPice
Dipartimento di Scienze Aziendali - Management and Innovation Systems, University of Salerno, Fisciano, Italy
1 shared publication
Latest Publications
- 12 November 2025
- Published by Springer Nature
- p. 391-407
Some Questions Concerning the Robustness of Neuromorphic Neural Networks
- 12 November 2025
- Published by Springer Nature
- p. 391-407
Some Questions Concerning the Robustness of Neuromorphic Neural Networks
- Open Access
- 29 April 2024
- Published by Oles Honchar Dnipropetrovsk National University in Journal of Optimization, Differential Equations and their Applications
- Vol. 32 (1) , 1-32
Generalized Active Contour Model in an Anisotropic Variable Exponent Sobolev Space
Generalized Active Contour Model in an Anisotropic Variable Exponent Sobolev Space
- 29 April 2024
- Published by Oles Honchar Dnipropetrovsk National University in Journal of Optimization, Differential Equations and their Applications
- Vol. 32 (1) , 1-32
Open AccessGeneralized Active Contour Model in an Anisotropic Variable Exponent Sobolev Space
Generalized Active Contour Model in an Anisotropic Variable Exponent Sobolev Space
- 29 August 2023
- Published by Springer Nature
- p. 193-202
Intellectual Data Analysis and Machine Learning Approaches for Car Insurance Rates Reconstruction
- 29 August 2023
- Published by Springer Nature
- p. 193-202
Intellectual Data Analysis and Machine Learning Approaches for Car Insurance Rates Reconstruction
- Open Access
- 1 May 2023
- Published by Oles Honchar Dnipropetrovsk National University in Journal of Optimization, Differential Equations and their Applications
- Vol. 31 (1) , 1-21
Optimal Control Problem for Non-linear Degenerate Parabolic Variation Inequality: Solvability and Attainability Issues
We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called Hadmissible solutions. We substantiate the attainability of H-optimal pairs via optimal solutions of some nondegenerate perturbed optimal control problems.
- 1 May 2023
- Published by Oles Honchar Dnipropetrovsk National University in Journal of Optimization, Differential Equations and their Applications
- Vol. 31 (1) , 1-21
Open AccessOptimal Control Problem for Non-linear Degenerate Parabolic Variation Inequality: Solvability and Attainability Issues
We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called Hadmissible solutions. We substantiate the attainability of H-optimal pairs via optimal solutions of some nondegenerate perturbed optimal control problems.
- Open Access
- 1 January 2023
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 2849 (1)
Analysis of an optimal boundary control problem for the case of a strongly degenerate elliptic equation
In this paper we study an optimal control problem for a linear boundary value problem with strongly degenerate coefficient in the main part of the elliptic operator and with the Nuemann boundary control. Given a cost functional, the objective is to provide the well-posedness analysis of the corresponding optimal control problem and to prove existence of the optimal solutions.
- 1 January 2023
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 2849 (1)
Open AccessAnalysis of an optimal boundary control problem for the case of a strongly degenerate elliptic equation
In this paper we study an optimal control problem for a linear boundary value problem with strongly degenerate coefficient in the main part of the elliptic operator and with the Nuemann boundary control. Given a cost functional, the objective is to provide the well-posedness analysis of the corresponding optimal control problem and to prove existence of the optimal solutions.
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Mathematical Control and Related Fields
- Vol. 13 (4) , 1466-1483
On optimal control problem for the Perona-Malik equation and its approximation
We discuss the existence of solutions to an optimal control problem for the Neumann boundary value problem for the Perona-Malik equations. The control variable $ v $ is taken as a distributed control. The optimal control problem is to minimize the discrepancy between a given distribution $ u_d\in L^2(\Omega) $ and the current system state. We deal with such case of non-linearity when we cannot expect to have a solution of the original boundary value problem for each admissible control. Instead of this we make use of a variant of its approximation using the model with fictitious control in coefficients of the principle elliptic operator. We introduce a special family of regularized optimization problems and show that each of these problems is consistent, well-posed, and their solutions allow to attain (in the limit) an optimal solution of the original problem as the parameter of regularization tends to zero. As a consequence, we establish sufficient conditions of the existence of optimal solutions to the given class of nonlinear Dirichlet BVP and derive some optimality conditions for the approximating problems.- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Mathematical Control and Related Fields
- Vol. 13 (4) , 1466-1483
On optimal control problem for the Perona-Malik equation and its approximation
We discuss the existence of solutions to an optimal control problem for the Neumann boundary value problem for the Perona-Malik equations. The control variable $ v $ is taken as a distributed control. The optimal control problem is to minimize the discrepancy between a given distribution $ u_d\in L^2(\Omega) $ and the current system state. We deal with such case of non-linearity when we cannot expect to have a solution of the original boundary value problem for each admissible control. Instead of this we make use of a variant of its approximation using the model with fictitious control in coefficients of the principle elliptic operator. We introduce a special family of regularized optimization problems and show that each of these problems is consistent, well-posed, and their solutions allow to attain (in the limit) an optimal solution of the original problem as the parameter of regularization tends to zero. As a consequence, we establish sufficient conditions of the existence of optimal solutions to the given class of nonlinear Dirichlet BVP and derive some optimality conditions for the approximating problems.- Open Access
- 16 November 2022
- Published by Springer Nature in Journal of Mathematical Imaging and Vision
- Vol. 65 (3) , 472-491
On a Variational Problem with a Nonstandard Growth Functional and Its Applications to Image Processing
We propose a new variational model in Sobolev–Orlicz spaces with non-standard growth conditions of the objective functional and discuss its applications to image processing. The characteristic feature of the proposed model is that the variable exponent, which is associated with non-standard growth, is unknown a priori and it depends on a particular function that belongs to the domain of objective functional. So, we deal with a constrained minimization problem that lives in variable Sobolev–Orlicz spaces. In view of this, we discuss the consistency of the proposed model, give the scheme for its regularization, derive the corresponding optimality system, and propose an iterative algorithm for practical implementations.
- 16 November 2022
- Published by Springer Nature in Journal of Mathematical Imaging and Vision
- Vol. 65 (3) , 472-491
Open AccessOn a Variational Problem with a Nonstandard Growth Functional and Its Applications to Image Processing
We propose a new variational model in Sobolev–Orlicz spaces with non-standard growth conditions of the objective functional and discuss its applications to image processing. The characteristic feature of the proposed model is that the variable exponent, which is associated with non-standard growth, is unknown a priori and it depends on a particular function that belongs to the domain of objective functional. So, we deal with a constrained minimization problem that lives in variable Sobolev–Orlicz spaces. In view of this, we discuss the consistency of the proposed model, give the scheme for its regularization, derive the corresponding optimality system, and propose an iterative algorithm for practical implementations.
- 26 March 2022
- Published by Springer Nature
- p. 3-19
Cyclic Regularities of the Covid-19 Spread and Vaccination Effect on Its Further Reduction
- 26 March 2022
- Published by Springer Nature
- p. 3-19
Cyclic Regularities of the Covid-19 Spread and Vaccination Effect on Its Further Reduction
- Open Access
- 27 September 2021
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (2) , 770-792
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration
In this paper, we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic operator. The objective is to provide a well‐posedness analysis of the corresponding system and derive conditions for its controllability through boundary actions. Passing to a relaxed version of the original problem, we discuss existence and uniqueness of solutions, and using the HUM method we derive conditions on the rate of degeneracy for both exact boundary controllability and the lack thereof.
- 27 September 2021
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (2) , 770-792
Open AccessOn boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration
In this paper, we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic operator. The objective is to provide a well‐posedness analysis of the corresponding system and derive conditions for its controllability through boundary actions. Passing to a relaxed version of the original problem, we discuss existence and uniqueness of solutions, and using the HUM method we derive conditions on the rate of degeneracy for both exact boundary controllability and the lack thereof.