Existence of global solutions for some classes of integral equations
We study the existence of $L^p$ -solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for...
Збережено в:
| Дата: | 2018 |
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| Автори: | , , , , , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1546 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study the existence of $L^p$ -solutions for a class of Hammerstein integral equations and neutral functional differential
equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of
solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving
abstract Volterra equations is given. |
|---|