On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces

被引:0
|
作者
Nguyen Thanh Lan [1 ]
机构
[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA
关键词
D O I
10.1155/2009/575939
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the differential equation u' (t) = Au(t) + f(t),t >= 0 on a Hilbert space H, we find the necessary and sufficient conditions that the above- mentioned equation has a unique almost periodic solution. Some applications are also given. Copyright (C) 2009 Nguyen Thanh Lan.
引用
收藏
页数:11
相关论文
共 50 条
  • [32] Periodic and almost periodic results for some differential equations in Banach spaces
    Dads, EA
    Ezzinbi, K
    Arino, O
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (1-2) : 163 - 170
  • [33] ALMOST PERIODIC SOLUTIONS AND STABLE SOLUTIONS FOR STOCHASTIC DIFFERENTIAL EQUATIONS
    Li, Yong
    Liu, Zhenxin
    Wang, Wenhe
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (11): : 5927 - 5944
  • [34] Almost Periodic Solutions for a Class of Stochastic Differential Equations
    Liu, Yongjian
    Liu, Aimin
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2013, 8 (04):
  • [35] Almost periodic solutions at infinity of differential equations and inclusions
    Baskakov, Anatoly
    Obukhovskii, Valeri
    Zecca, Pietro
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 747 - 763
  • [36] Almost periodic solutions for impulsive fractional differential equations
    Stamov, Gani Tr
    Stamova, Ivanka M.
    [J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2014, 29 (01): : 119 - 132
  • [37] Almost Periodic Solutions of Impulsive Differential Equations Preface
    Stamov, G. T.
    [J]. ALMOST PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS, 2012, 2047 : VII - +
  • [38] On almost periodic solutions of some ordinary differential equations
    Bystrlein, V
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1941, 33 (06): : 387 - 389
  • [39] Almost Periodic Solutions of Impulsive Differential Equations Introduction
    Stamov, G. T.
    [J]. ALMOST PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS, 2012, 2047 : XIII - XX
  • [40] Almost periodic solutions of partial differential equations with delay
    Hernán R Henríquez
    Claudio Cuevas
    Alejandro Caicedo
    [J]. Advances in Difference Equations, 2015