Periodic solutions of abstract functional differential equations with infinite delay

被引：6

作者：

Henriquez, Hernan R. ^{[1
]}

Lizama, Carlos ^{[1
]}

机构：

[1] Univ Santiago Chile USACH, Dept Matemat, Fac Ciencias, Santiago, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Periodic solutions; Abstract functional differential equations; UMD spaces; EXISTENCE; PSEUDO;

D O I：

10.1016/j.na.2011.10.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the existence of periodic solutions for a class of abstract retarded functional differential equations with infinite delay. We apply our results to the nonlinear equation x'(t) = Ax(t) + L(x(t)) + N(x(t)) + f(t), t is an element of R, where A : D(A) subset of X -> X is a closed operator defined on a Banach space X, L is a bounded linear map, N : B. X is a continuous function defined on an appropriate phase space B and f is an element of L-p(T, X). (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2016 / 2023

页数：8

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