Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations

被引：0

作者：

Junwei Liu

Chuanyi Zhang

机构：

[1] Harbin Institute of Technology,Department of Mathematics

来源：

Advances in Difference Equations | / 2013卷 / 1期

关键词：

piecewise pseudo almost periodic functions; composition theorem; mild solutions; impulsive differential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce the concept of piecewise pseudo almost periodic functions on a Banach space and establish some composition theorems of piecewise pseudo almost periodic functions. We apply these composition theorems to investigate the existence of piecewise pseudo almost periodic (mild) solutions to abstract impulsive differential equations. In addition, the stability of piecewise pseudo almost periodic solutions is considered.

引用

共 50 条

[1] Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
Liu, Junwei
Zhang, Chuanyi
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2] Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
Liu, Junwei
Zhang, Chuanyi
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[3] PIECEWISE WEIGHTED PSEUDO ALMOST PERIODIC FUNCTIONS AND APPLICATIONS TO IMPULSIVE DIFFERENTIAL EQUATIONS
Song, Na
Li, Hong-Xu
Chen, Chuan-Hua
[J]. MATHEMATICA SLOVACA, 2016, 66 (05) : 1139 - 1156
[4] Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇-dynamic equations on time scales
Chao Wang
Ravi P Agarwal
[J]. Advances in Difference Equations, 2014
[5] Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
Cieutat, Philippe
Fatajou, Samir
N'Guerekata, Gaston M.
[J]. APPLICABLE ANALYSIS, 2010, 89 (01) : 11 - 27
[6] 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
[7] Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive del-dynamic equations on time scales
Wang, Chao
Agarwal, Ravi P.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[8] Weighted pseudo almost automorphic functions and applications to abstract differential equations
Blot, J.
Mophou, G. M.
N'Guerekata, G. M.
Pennequin, D.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 903 - 909
[9] Composition of pseudo almost-periodic functions and semilinear differential equations
Li, HX
Haung, FL
Li, JY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) : 436 - 446
[10] Almost periodic functions of Lyapunov for impulsive differential equations
Stamov, GT
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (03): : 339 - 351

← 1 2 3 4 5 →