Weakly nonlinear Fredholm integrodifferential equations with degenerate kernel in Banach spaces
UDC 517.968.2 We consider weakly nonlinear Fredholm integrodifferential equations  with degenerate kernel in Banach spaces.  Necessary conditions are established for the existence of a solution, which turns into the generating solution for $\varepsilon = 0$.&am...
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| Дата: | 2025 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7998 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.968.2
We consider weakly nonlinear Fredholm integrodifferential equations  with degenerate kernel in Banach spaces.  Necessary conditions are established for the existence of a solution, which turns into the generating solution for $\varepsilon = 0$.  We also obtain sufficient conditions for the existence of at least one solution and construct a convergent iterative algorithm for its determination. |
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| DOI: | 10.3842/umzh.v76i10.7998 |