Continuability and boundedness of solutions for a kind of nonlinear delay integro-differential equations of third order

• Published in: Нелінійні коливання
• Date: 2017
• Main Authors: Tunç, C., Ayhan, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177315
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Continuability and boundedness of solutions for a kind of nonlinear delay integro-differential equations of third order / C. Tunç, T. Ayhan // Нелінійні коливання. — 2017. — Т. 20, № 3. — С. 411-422 — Бібліогр.: 25 назв. — англ.

This paper considers a nonlinear integro-differential equation of third order with delay. We establish sufficient conditions which guarantee the globally existence and boundedness of the solutions of the equation considered. We benefit from the Lyapunov’s second method to prove the main result. An e...