Boundary-value problems with control for operator equations in Banach spaces
UDC 517.935 In this paper, using the generalized inversion theory of operators, we establish a criterion for solvability and the general form of solutions of operator equations with control that are not everywhere solvable and of linear boundary-value problems for such operators in Banach spaces.
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| Date: | 2021 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6537 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.935
In this paper, using the generalized inversion theory of operators, we establish a criterion for solvability and the general form of solutions of operator equations with control that are not everywhere solvable and of linear boundary-value problems for such operators in Banach spaces. |
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| DOI: | 10.37863/umzh.v73i5.6537 |