WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

被引：4

作者：

Zhang, Li-Li ^{[1
]}

Li, Hong-Xu ^{[2
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 92卷 / 02期

基金：

中国国家自然科学基金;

关键词：

exponential dichotomy; weighted pseudo almost periodic sequence; weighted pseudo almost periodic solution; piecewise constant argument;

D O I：

10.1017/S000497271500057X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By applying the theory of exponential dichotomies and contraction mapping, we establish some existence and uniqueness results for weighted pseudo almost periodic solutions of some differential equations with piecewise constant arguments. For this purpose, we also describe some basic properties of weighted pseudo almost periodic sequences.

引用

页码：238 / 250

页数：13

共 50 条

[31] The Existence of Pseudo-almost Periodic Solutions of Third-order Neutral Differential Equations with Piecewise Constant Argument
Zhuang, Rong Kun
Yuan, Rong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (05) : 943 - 958
[32] The existence of pseudo-almost periodic solutions of third-order neutral differential equations with piecewise constant argument
Rong Kun Zhuang
Rong Yuan
Acta Mathematica Sinica, English Series, 2013, 29 : 943 - 958
[33] Periodic solutions of a neutral differential equation with piecewise constant arguments
Wang, Gen-Qiang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 736 - 747
[34] WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Ezzinbi, Khalil
Fatajou, Samir
N'Guerekata, Gaston M.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[35] Almost periodic solutions of a class of singularly perturbed differential equations with piecewise constant argument
Yuan, R
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (07) : 841 - 859
[36] The S-asymptotically ω-periodic solutions for stochastic fractional differential equations with piecewise constant arguments
Zhao, Shufen
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (12): : 7125 - 7141
[37] ALMOST AUTOMORPHY FOR BOUNDED SOLUTIONS TO SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
Chen, Chuan-Hua
Li, Hong-Xu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[38] Almost periodic weak solutions of neutral delay-differential equations with piecewise constant argument
Li, HX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) : 530 - 545
[39] The Existence of Almost Periodic Solutions of Second Order Neutral Differential Equations with Piecewise Constant Argument
李志祥
贺明科
NortheasternMathematicalJournal, 1999, (03) : 369 - 378
[40] On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
Muminov, Mukhiddin I.
ADVANCES IN DIFFERENCE EQUATIONS, 2017,

← 1 2 3 4 5 →