On solutions of hyperbolic differential inclusions with nonconvex right-hand side
The existence of a generalized solution with continuous derivativesu x ,u y is proved for the differential inclusionu xy ∈F(x, y, u) with a nonconvex right-hand side satisfying the Lipschitz conditioninx, y, andu.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5452 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511681632796672 |
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| author | Vityuk, A. N. Витюк, А. Н. Витюк, А. Н. |
| author_facet | Vityuk, A. N. Витюк, А. Н. Витюк, А. Н. |
| author_sort | Vityuk, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | The existence of a generalized solution with continuous derivativesu x ,u y is proved for the differential inclusionu xy ∈F(x, y, u) with a nonconvex right-hand side satisfying the Lipschitz conditioninx, y, andu. |
| first_indexed | 2026-03-24T03:16:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5452 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:46Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f5/03051300360ec232283deedfa241b3f5.pdf |
| spelling | umjimathkievua-article-54522020-03-19T08:59:28Z On solutions of hyperbolic differential inclusions with nonconvex right-hand side О решениях гиперболических дифференциальных включений с невыпуклой правой частью Vityuk, A. N. Витюк, А. Н. Витюк, А. Н. The existence of a generalized solution with continuous derivativesu x ,u y is proved for the differential inclusionu xy ∈F(x, y, u) with a nonconvex right-hand side satisfying the Lipschitz conditioninx, y, andu. Для диференціального включення и $ху є F (х, у, u)$ із неопуклою правою частиною, яка задовольняє умову Ліпшіца по $х, у, u$ и доведено існування узагальненого розв'язку, який має неперервні частинні похідні $u_х, u_y$. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5452 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 531–534 Український математичний журнал; Том 47 № 4 (1995); 531–534 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5452/7593 https://umj.imath.kiev.ua/index.php/umj/article/view/5452/7594 Copyright (c) 1995 Vityuk A. N. |
| spellingShingle | Vityuk, A. N. Витюк, А. Н. Витюк, А. Н. On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title | On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title_alt | О решениях гиперболических дифференциальных включений с невыпуклой правой частью |
| title_full | On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title_fullStr | On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title_full_unstemmed | On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title_short | On solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| title_sort | on solutions of hyperbolic differential inclusions with nonconvex right-hand side |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5452 |
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