Pseudo Almost Periodic Solutions to a Class of Semilinear Differential Equations

被引：0

作者：

Toka Diagana

机构：

[1] Howard University,Department of Mathematics

来源：

Nonlinear Dynamics | 2006年 / 45卷

关键词：

almost periodic function; Banach fixed-point principle; existence and uniqueness of a pseudo almost periodic solution; infinitesimal generator of a ; -group; pseudo almost periodic function; the method of the invariant subspaces for unbounded linear operators;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the existence and uniqueness of pseudo almost periodic solutions to a class of semilinear differential equations involving the algebraic sum of two (possibly noncommuting) densely defined closed linear operators acting on a Hilbert space. Sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those semilinear equations are obtained.

引用

页码：45 / 53

页数：8

共 50 条

[41] Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations
谢灵红
顾晓慧
谢建华
[J]. Railway Engineering Science, 2003, (01) : 98 - 102
[42] PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Diagana, Toka
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[43] Pseudo almost periodic solutions for some differential equations in a Banach space
Dads, EA
Ezzinbi, K
Arino, O
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (07) : 1141 - 1155
[44] PSEUDO-ALMOST PERIODIC SOLUTIONS TO SOME FUNCTIONAL DIFFERENTIAL EQUATIONS
Xidong Sun
[J]. Annals of Applied Mathematics, 2010, 26 (02) : 215 - 221
[45] PSEUDO-ALMOST PERIODIC SOLUTIONS TO SOME FUNCTIONAL DIFFERENTIAL EQUATIONS
Xidong Sun Yuliang Han Baifeng Liu Xiliang Li College of Math and Information Sciences Shangdong Institute of Business and Technology Yantai Shandong
[J]. Annals of Differential Equations., 2010, 26 (02) - 221
[46] Weighted pseudo almost periodic solutions of neutral functional differential equations
Chen, Xiaoxing
Hu, Xiangyang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 601 - 610
[47] Pseudo almost periodic solutions for differential equations involving reflection of the argument
Piao, DX
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2004, 41 (04) : 747 - 754
[48] Pseudo Almost Periodic Solutions for a Class of Fourth-Order Nonlinear Differential Equations with a Deviating Argument
Chérif F.
[J]. Differential Equations and Dynamical Systems, 2016, 24 (1) : 81 - 97
[49] Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations
Xia, Zhinan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 : 50 - 65
[50] Integral Inequalities and Pseudo Almost Automorphic Solutions to Semilinear Differential Equations in Banach Spaces
Chang, Jung-Chan
Luor, Dah-Chin
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4353 - 4368

← 1 2 3 4 5 →