ASYMPTOTICALLY PERIODIC SOLUTIONS OF NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：22

作者：

Henriquez, Hernan R. ^{[1
]}

Cuevas, Claudio ^{[2
]}

Caicedo, Alejandro ^{[2
]}

机构：

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

[2] Univ Fed Pernambuco, Dept Matemat, Ctr Ciencias Exatas & Nat, BR-50740560 Recife, PE, Brazil

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 05期

关键词：

Neutral functional differential equations; integro-differential equations; asymptotically almost automorphic functions; S-asymptotically omega-periodic functions; AUTOMORPHIC SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; INTEGRAL-EQUATIONS; MILD SOLUTIONS; EXISTENCE; THEOREM;

D O I：

10.3934/cpaa.2013.12.2031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence and uniqueness of asymptotically almost automorphic and S-asymptotically omega-periodic mild solutions to some abstract nonlinear integro-differential equation of neutral type with infinite delay. We apply our results to neutral partial differential equations with infinite delay.

引用

页码：2031 / 2068

页数：38

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