On the jump control problem for boundary-value problems with state-dependent impulses
UDC 517.9 We show how an appropriate parametrization technique and special successive approximations can help to control  unknown jumps in the case of nonlinear boundary-value problems with state-dependent impulses.  The practical application of the technique i...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7390 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512664980029440 |
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| author | Rontó, A. Rontó, M. Rontоová, N. Rontó, A. Rontó, M. Rontоová, N. |
| author_facet | Rontó, A. Rontó, M. Rontоová, N. Rontó, A. Rontó, M. Rontоová, N. |
| author_sort | Rontó, A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-02-25T14:21:55Z |
| description | UDC 517.9
We show how an appropriate parametrization technique and special successive approximations can help to control  unknown jumps in the case of nonlinear boundary-value problems with state-dependent impulses.  The practical application of the technique is shown on a numerical example. |
| doi_str_mv | 10.37863/umzh.v75i1.7390 |
| first_indexed | 2026-03-24T03:32:23Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7390 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:23Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73902023-02-25T14:21:55Z On the jump control problem for boundary-value problems with state-dependent impulses On the jump control problem for boundary-value problems with state-dependent impulses Rontó, A. Rontó, M. Rontоová, N. Rontó, A. Rontó, M. Rontоová, N. Non-linear system of differential equations, state-dependent jump, parameterization, successive approximations, jump control UDC 517.9 We show how an appropriate parametrization technique and special successive approximations can help to control  unknown jumps in the case of nonlinear boundary-value problems with state-dependent impulses.  The practical application of the technique is shown on a numerical example. УДК 517.9 Задача керування стрибком для крайових задач iз залежними від стану імпульсами  Показано як відповідний метод параметризації та спеціальні послідовні наближення можуть допомогти керувати невідомими стрибками у випадку нелінійних крайових задач з імпульсами, що залежать від стану.  Практичне застосування цієї техніки показано на числовому прикладі. Institute of Mathematics, NAS of Ukraine 2023-02-05 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7390 10.37863/umzh.v75i1.7390 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 1 (2023); 121 - 137 Український математичний журнал; Том 75 № 1 (2023); 121 - 137 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7390/9802 Copyright (c) 2023 András Ronto, Miklós Rontó, Natálie Rontóová |
| spellingShingle | Rontó, A. Rontó, M. Rontоová, N. Rontó, A. Rontó, M. Rontоová, N. On the jump control problem for boundary-value problems with state-dependent impulses |
| title | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_alt | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_full | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_fullStr | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_full_unstemmed | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_short | On the jump control problem for boundary-value problems with state-dependent impulses |
| title_sort | on the jump control problem for boundary-value problems with state-dependent impulses |
| topic_facet | Non-linear system of differential equations state-dependent jump parameterization successive approximations jump control |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7390 |
| work_keys_str_mv | AT rontoa onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses AT rontom onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses AT rontoovan onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses AT rontoa onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses AT rontom onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses AT rontoovan onthejumpcontrolproblemforboundaryvalueproblemswithstatedependentimpulses |