S-asymptotically ω-periodic and asymptotically ω-periodic solutions to semi-linear Cauchy problems with non-dense domain

被引：52
作者：
de Andrade, Bruno [1 ]
Cuevas, Claudio [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 06期
关键词：
Abstract Cauchy problem; Asymptotically omega-periodic function; S-asymptotically omega-periodic function; Hille-Yosida operator; Non-dense domain; Nonlocal conditions; Fractional integro-differential equations; Neutral differential equations; FUNCTIONAL-DIFFERENTIAL EQUATIONS; BANACH-SPACES; EXISTENCE; REGULARITY; UNIQUENESS; SYSTEM;
D O I：
10.1016/j.na.2009.12.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the existence and uniqueness of S-asymptotically omega-periodic and asymptotically omega-periodic solutions to a first-order differential equation with linear part dominated by a Hille-Yosida operator with non-dense domain. Applications to partial differential equations, fractional integro-differential and neutral differential equations are given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3190 / 3208
页数：19
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