Singular integral inequalities with several nonlinearities and integral equations with singular kernels
We deal with an integral inequality with a power nonlinearity in its left-hand side, with n nonlinearities in its right-hand side, and weakly singular kernels. The obtained result is an extention of the Bihari, Henry, Pachpatte and Pinto inequalities and results obtained by the author. Using these...
Збережено в:
| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/178149 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Singular integral inequalities with several nonlinearities and integral equations with singular kernels / M. Medveď // Нелінійні коливання. — 2008. — Т. 11, № 1. — С. 71-80. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We deal with an integral inequality with a power nonlinearity in its left-hand side, with n nonlinearities in
its right-hand side, and weakly singular kernels. The obtained result is an extention of the Bihari, Henry,
Pachpatte and Pinto inequalities and results obtained by the author. Using these results we prove sufficient
conditions for existence of global solutions of some nonlinear Volterra integral equations with singular
kernels and n nonlinearities. |
|---|