Optimal Control Problems for Evolutionary Variational Inequalities with Volterra-Type Operators
In this paper, we consider an optimal control problem for a class of evolution inclusions with Volterra-type operators. The existence and uniqueness results for the initial value problem for such inclusions were obtained in our previous work. Here we establish the existence of a solution to the stat...
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| Date: | 2024 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2024
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1051 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |
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Journal of Mathematical Physics, Analysis, Geometry| Summary: | In this paper, we consider an optimal control problem for a class of evolution inclusions with Volterra-type operators. The existence and uniqueness results for the initial value problem for such inclusions were obtained in our previous work. Here we establish the existence of a solution to the stated optimal control problem under some hypothesis on data-in. The motivation for this work comes from the optimal control problems for variational inequalities arising in the study of injection molding processes, contact mechanics, processes of electro-wetting on dielectrics, and others.
Mathematical Subject Classification 2020: 34H05, 35K86, 49J20, 49J21,49J27, 49J40 |
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