Solvability criterion of linear boundary-value problems for integro-differential Fredholm equations with a degenerate kernel in Banach spaces
UDC 517.983 Using the theory of generalized inversion of operators and integral operators, we obtain a criterion for solvability and a general form of solutions of linear boundary-value problem for integro-differential equation with a degenerate kernel in Banach space.
Збережено в:
| Дата: | 2020 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2020
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/2322 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.983
Using the theory of generalized inversion of operators and integral operators, we obtain a criterion for solvability and a general form of solutions of linear boundary-value problem for integro-differential equation with a degenerate kernel in Banach space. |
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| DOI: | 10.37863/umzh.v72i11.2322 |