ON WEAK-ALMOST PERIODIC MILD SOLUTIONS OF SOME LINEAR ABSTRACT DIFFERENTIAL EQUATIONS

被引：0

作者：

N'Guerekata, Gaston ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年

关键词：

Weak almost periodicity; optimal mild solutions; semigroups of linear operators; Banach spaces;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the differential equation x'(t) = As(t) At) with a linear operator A acting in a Banach space X and f : R -> X a almost periodic function (in Bochner's sense). We give necessary conditions to ensure that the so-called optimal mild solutions are also weakly almost periodic.

引用

页码：672 / 677

页数：6

共 50 条

[31] ON THE EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF SOME DELAY DIFFERENTIAL EQUATIONS
冯春华
Annals of Applied Mathematics, 2004, (01) : 30 - 36
[32] Pseudo almost periodic solutions of some delay differential equations
Dads, EA
Ezzinbi, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (03) : 840 - 850
[33] The existence of almost periodic solutions of some delay differential equations
Feng, CH
Wang, P
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (8-9) : 1225 - 1231
[34] SOME RECENT RESULTS FOR ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS
SEIFERT, G
SIAM REVIEW, 1965, 7 (04) : 529 - &
[35] EXISTENCE OF GENERALIZED ALMOST PERIODIC AND ASYMPTOTIC ALMOST PERIODIC SOLUTIONS TO ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Kostic, Marko
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[36] Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay
Hernán R. Henríquez
Carlos H. Vásquez
Acta Applicandae Mathematica, 1999, 57 : 105 - 132
[37] Weighted pseudo-almost periodic solutions of a class of abstract differential equations
Zhang, Liuwei
Xu, Yuantong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3705 - 3714
[38] Pseudo-almost periodic solutions for abstract partial functional differential equations
Cuevas, Claudio
Hernandez, Eduardo M.
APPLIED MATHEMATICS LETTERS, 2009, 22 (04) : 534 - 538
[39] Asymptotically almost periodic solutions for abstract neutral integro-differential equations
Hernandez, Eduardo
Pierri, Michelle
Bena, Maria Aparecida
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 8963 - 8972
[40] Almost periodic solutions of abstract retarded functional differential equations with unbounded delay
Henríquez, HR
Vásquez, CH
ACTA APPLICANDAE MATHEMATICAE, 1999, 57 (02) : 105 - 132

← 1 2 3 4 5 →