Asymptotically periodic solutions to nonlocal Cauchy problems governed by compact evolution families

• Published in: Нелінійні коливання
• Date: 2013
• Main Authors: Wang, R.-N., Xiang, Q.-M., Zhou, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177037
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotically periodic solutions to nonlocal Cauchy problems governed by compact evolution families / R.-N. Wang, Q.-M. Xiang, Y. Zhou // Нелінійні коливання. — 2013. — Т. 16, № 1. — С. 14-28. — Бібліогр.: 25 назв. — англ.

This paper is devoted to a study of a class of abstract Cauchy problems for semilinear nonautonomous evolution equations involving nonlocal initial conditions. Combining the theory of evolution families and the fixed point theorem due to Krasnoselskii, as well as a decomposition technique, we prove...