Pseudo Almost Periodic Solutions of Impulsive Differential Equations with Delay

被引：17

作者：

Chérif F. ^{[1
]}

机构：

[1] ISSATs and Laboratory of Mathematical Physics, Specials Functions and Applications, LR11ES35, Ecole Supérieure des Sciences et de Technologie de Hammam-Sousse, Université de Sousse, Sousse

来源：

Differential Equations and Dynamical Systems | 2014年 / 22卷 / 1期

关键词：

Fractional powers of operators; Impulsive differential equations; Pseudo almost periodic function;

D O I：

10.1007/s12591-012-0156-0

中图分类号：

学科分类号：

摘要：

The dynamics of many evolving processes are subject to abrupt changes, such as shocks, harvesting and natural disasters. These phenomena involve shortterm perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. This paper studies the existence and uniqueness of pseudo almost periodic solutions for a class of impulsive differential equations in Banach space. The investigations are carried out by means of the fractional powers of operators. © 2013 Foundation for Scientific Research and Technological Innovation.

引用

页码：73 / 91

页数：18

共 50 条

[1] Pseudo almost periodic solutions of some delay differential equations
Dads, EA
Ezzinbi, K
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (03) : 840 - 850
[2] PSEUDO ALMOST PERIODIC IN DISTRIBUTION SOLUTIONS AND OPTIMAL SOLUTIONS TO IMPULSIVE PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Yan, Zuomao
Jia, Xiumei
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1396 - 1440
[3] PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Diagana, Toka
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[4] Existence of pseudo almost periodic solutions of functional differential equations with infinite delay
Zhang, Liuwei
Xu, Yuantong
[J]. APPLICABLE ANALYSIS, 2009, 88 (12) : 1713 - 1726
[5] Periodic solutions of delay impulsive differential equations
Liang, Jin
Liu, James H.
Xiao, Ti-Jun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6835 - 6842
[6] Pseudo almost periodic in distribution solutions to impulsive partial stochastic functional differential equations
Yan, Zuomao
Lu, Fangxia
[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2019, 91 (04) : 553 - 591
[7] Almost Periodic Solutions of Impulsive Differential Equations Preface
Stamov, G. T.
[J]. ALMOST PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS, 2012, 2047 : VII - +
[8] Almost Periodic Solutions of Impulsive Differential Equations Introduction
Stamov, G. T.
[J]. ALMOST PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS, 2012, 2047 : XIII - XX
[9] Almost periodic solutions for abstract impulsive differential equations
Stamov, Gani Tr.
Alzabut, Jehad O.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2457 - 2464
[10] 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

← 1 2 3 4 5 →