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...
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1781492021-02-19T01:26:26Z Singular integral inequalities with several nonlinearities and integral equations with singular kernels Medveď, M. 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. Розглянуто iнтегральнi нерiвностi зi степеневою нелiнiйнiстю в лiвiй частинi, n нелiнiйностями у правiй частинi та слабкосингулярними ядрами. Отриманий результат є узагальненням нерiвностей, одержаних Бiхарi, Генрi, Пачпатт та Пiнто, а також результатiв автора. На основi цих результатiв встановлено достатнi умови iснування глобальних розв’язкiв деяких нелiнiйних iнтегральних рiвнянь Вольтерри з сингулярними ядрами та n нелiнiйностями. 2008 Article 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. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/178149 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Medveď, M. |
| spellingShingle |
Medveď, M. Singular integral inequalities with several nonlinearities and integral equations with singular kernels Нелінійні коливання |
| author_facet |
Medveď, M. |
| author_sort |
Medveď, M. |
| title |
Singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| title_short |
Singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| title_full |
Singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| title_fullStr |
Singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| title_full_unstemmed |
Singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| title_sort |
singular integral inequalities with several nonlinearities and integral equations with singular kernels |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/178149 |
| citation_txt |
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. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
AT medvedm singularintegralinequalitieswithseveralnonlinearitiesandintegralequationswithsingularkernels |
| first_indexed |
2023-10-18T22:45:23Z |
| last_indexed |
2023-10-18T22:45:23Z |
| _version_ |
1796156347928018944 |