Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations
UDC 517.9 We present new retarded nonlinear integral inequalities with mixеd powers. The obtained inequalities can be used to study the boundedness and global existence of the solutions of  integro-differential equation with delay and Volterra-type integral equation with delay.&...
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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/6903 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512550041419776 |
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| author | Shakoor, А. Samar, M. Athar, T. Saddique, M. Shakoor, А. Samar, M. Athar, T. Saddique, M. |
| author_facet | Shakoor, А. Samar, M. Athar, T. Saddique, M. Shakoor, А. Samar, M. Athar, T. Saddique, M. |
| author_sort | Shakoor, А. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-04-14T15:06:07Z |
| description | UDC 517.9
We present new retarded nonlinear integral inequalities with mixеd powers. The obtained inequalities can be used to study the boundedness and global existence of the solutions of  integro-differential equation with delay and Volterra-type integral equation with delay.  These inequalities extend some  results available in the  literature.  Finally, we present two examples to demonstrate the usefulness of our main results. |
| doi_str_mv | 10.37863/umzh.v75i3.6903 |
| first_indexed | 2026-03-24T03:30:34Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-6903 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:30:34Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-69032023-04-14T15:06:07Z Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations Shakoor, А. Samar, M. Athar, T. Saddique, M. Shakoor, А. Samar, M. Athar, T. Saddique, M. Retarded integral inequality, Boundedness, Delay integro-differential equation UDC 517.9 We present new retarded nonlinear integral inequalities with mixеd powers. The obtained inequalities can be used to study the boundedness and global existence of the solutions of  integro-differential equation with delay and Volterra-type integral equation with delay.  These inequalities extend some  results available in the  literature.  Finally, we present two examples to demonstrate the usefulness of our main results. УДК 517.9 Результати для сповільнених нелінійних інтегральних нерівностей з мішаними степенями та їх застосування до інтегро-диференціальних рівнянь із запізненням Запропоновано нові сповільнені нелінійні інтегральні нерівності з мішаними степенями. Отримані нерівності можуть бути використані для дослідження обмеженості та глобального існування розв’язків інтегро-диференціального рівняння із запізненням та інтегрального рівняння типу Вольтерра із запізненням.  Ці нерівності розширюють деякі  результати, наведені в літературі.  Крім того, розглянуто два приклади, що демонструють корисність отриманих основних результатів.  Institute of Mathematics, NAS of Ukraine 2023-04-11 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/6903 10.37863/umzh.v75i3.6903 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 3 (2023); 416 - 429 Український математичний журнал; Том 75 № 3 (2023); 416 - 429 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6903/9792 Copyright (c) 2023 Abdul Shakoor |
| spellingShingle | Shakoor, А. Samar, M. Athar, T. Saddique, M. Shakoor, А. Samar, M. Athar, T. Saddique, M. Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_alt | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_full | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_fullStr | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_full_unstemmed | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_short | Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| title_sort | results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations |
| topic_facet | Retarded integral inequality Boundedness Delay integro-differential equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6903 |
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