Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Olha P. Kupenko"'
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 1, Pp 1-21 (2023)
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 H
Externí odkaz:
https://doaj.org/article/ab40c988c318479390dfbeaa09129bd7
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 27, Iss 2, Pp 1-22 (2019)
In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion co
Externí odkaz:
https://doaj.org/article/57cb460d4c764b3297c774d93196a3a1
Publikováno v:
Abstract and Applied Analysis, Vol 2020 (2020)
We discuss the existence issue to an optimal control problem for one class of nonlinear elliptic equations with an exponential type of nonlinearity. We deal with the control object when we cannot expect to have a solution of the corresponding boundar
Externí odkaz:
https://doaj.org/article/c9e2ef3619ea4de0906a602def48e0d4
Autor:
Peter I. Kogut, Olha P. Kupenko
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 26, Iss 2, Pp 13-36 (2018)
We study here Dirichlet boundary value problem for a quasi-linear elliptic equation with anisotropic p-Laplace operator in its principle part and L^1-control in coefficient of the low-order term. As characteristic feature of such problem is a specifi
Externí odkaz:
https://doaj.org/article/2be369d5f1904f3082c7ac23c256a94e
Autor:
Peter I. Kogut, Olha P. Kupenko
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 26, Iss 1, Pp 45-71 (2018)
We study a Dirichlet-Navier optimal design problem for a quasi-linear mono- tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ). In order to handle the
Externí odkaz:
https://doaj.org/article/be7d3378a6844bddb2f12b558d3c0907
Autor:
Michael Z. Zgurovsky, Pavlo O. Kasyanov, Olha P. Kupenko, Kostiantyn V. Yefremov, Nataliia V. Gorban, Mariya M. Perestyuk
Publikováno v:
Studies in Computational Intelligence ISBN: 9783030949099
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5625b477a50bdb7fdef5a4742b735739
https://doi.org/10.1007/978-3-030-94910-5_1
https://doi.org/10.1007/978-3-030-94910-5_1
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 th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8fb0e4f5ce3851a70a27659b7057762
https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/18825
https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/18825
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 27, Iss 2, Pp 1-22 (2019)
In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a3105f8bc0c74207abec7918b787f10
https://model-dnu.dp.ua/index.php/SM/article/view/136
https://model-dnu.dp.ua/index.php/SM/article/view/136
Autor:
Olha P. Kupenko, Peter I. Kogut
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:1273-1295
We study an optimal control problem for one class of non-linear elliptic equations with \begin{document}$p$\end{document} -Laplace operator and \begin{document}$L^1$\end{document} -nonlinearity. We deal with such case of nonlinearity when we cannot e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42aadbf28d6fd48075fa43f38fa39eba
https://doi.org/10.3934/dcdsb.2019016
https://doi.org/10.3934/dcdsb.2019016
Autor:
Olha P. Kupenko, Rosanna Manzo
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We consider optimal control problems for linear degenerate elliptic variational inequalities with homogeneous Dirichlet boundary conditions. We take the matrix-valued coefficients in the main part of the elliptic operator as controls in . Since the e
Externí odkaz:
https://doaj.org/article/f637720509504ef182e8d85f27779016