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
收藏
页码：2031 / 2068
页数：38
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