Ultimate boundedness and periodicity for some partial functional differential equations with infinite delay

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:329

Article

Elazzouzi, Abdelhai ; Ezzinbi, Khalil

关键词: Hille-Yosida condition;    integral solutions;    semigroup;    uniform fading memory space;    ultimate boundedness;    condensing map;    Hale and Lunel's fixed point theorem;    periodic solution;   

DOI  :  10.1016/j.jmaa.2006.06.088

来源: Elsevier

【 摘 要 】

In this work we study the existence of periodic solutions for some partial functional differential equation with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the known Hille-Yosida condition. Firstly, we give some estimates of the solutions. Secondly, we prove that the Poincare map is condensing which allows us to prove the existence of periodic solutions when the solutions are ultimately bounded. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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