Singular integral inequalities with several nonlinearities and integral equations with singular kernels

• Published in: Нелінійні коливання
• Date: 2008
• Main Author: Medveď, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178149
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...