HYERS–ULAM–RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
HYERS–ULAM–RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE
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| Автор |
Sesekin, A. N.
Kandrina, A. D. |
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| Тематика |
DIFFERENTIAL EQUATIONS
DISCONTINUOUS TRAJECTORIES GENERALIZED ACTIONS HYERS–ULAM–RASSIAS STABILITY |
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| Описание |
The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions. The fact that the derivatives in the equation are considered distributions required a correction of the well-known Hyers–Ulam–Rassias definition of stability for such equations. Sufficient conditions are obtained that ensure the property under study. © 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
Russian Science Foundation, RSF: 22-21-00714 1This work was supported by the Russian Science Foundation (project no. This work was supported by the Russian Science Foundation (project no. 22-21-00714). |
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| Дата |
2024-04-05T16:31:26Z
2024-04-05T16:31:26Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Sesekin, AN & Kandrina, AD 2023, 'HYERS-ULAM-RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE', Ural Mathematical Journal, Том. 9, № 1 (16), стр. 147-152. https://doi.org/10.15826/umj.2023.1.013
Sesekin, A. N., & Kandrina, A. D. (2023). HYERS-ULAM-RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE. Ural Mathematical Journal, 9(1 (16)), 147-152. https://doi.org/10.15826/umj.2023.1.013 2414-3952 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85168291249&doi=10.15826%2fumj.2023.1.013&partnerID=40&md5=1424e040613d11a570554b44d9116f8f https://umjuran.ru/index.php/umj/article/download/621/pdf http://elar.urfu.ru/handle/10995/130721 54265313 10.15826/umj.2023.1.013 85168291249 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00714
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Krasovskii Institute of Mathematics and Mechanics
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| Источник |
Ural Mathematical Journal
Ural Mathematical Journal |
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