Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain

被引:2
作者
Xia, Zhinan [1 ]
机构
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
关键词
ALMOST PERIODIC-SOLUTIONS; STEPANOV-LIKE PSEUDO; WEIGHTED PSEUDO; DIFFERENTIAL-EQUATIONS; AUTOMORPHIC-FUNCTIONS; EXISTENCE; UNIQUENESS;
D O I
10.1155/2014/419103
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. The existence and uniqueness of mu-pseudo antiperiodic (mu-pseudo periodic, mu-pseudo almost periodic, and mu-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.
引用
收藏
页数:10
相关论文
共 33 条
[1]   Pseudo almost automorphic solutions of some nonlinear integro-differential equations [J].
Abbas, Syed .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) :2259-2272
[2]  
Acquistapace P., 1987, Rend. Semin. Mat. Univ. Padova, V78, P47, DOI [10.1016/0022-1236(85)90050-3, DOI 10.1016/0022-1236(85)90050-3]
[3]  
Acquistapace P., 1998, DIFFERENTIAL INTEGRA, V1, P433
[4]   Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces [J].
Adimy M. ;
Ezzinbi K. ;
Marquet C. .
Journal of Applied Mathematics and Computing, 2014, 44 (1-2) :147-165
[5]   Existence of weighted pseudo anti-periodic solutions to some non-autonomous differential equations [J].
Al-Islam, Najja S. ;
Alsulami, Saud M. ;
Diagana, Toka .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) :6536-6548
[6]  
[Anonymous], 2006, ELECT J DIFF EQNS
[7]  
[Anonymous], 2000, GRAD TEXT M
[8]   Weighted pseudo almost automorphic functions and applications to abstract differential equations [J].
Blot, J. ;
Mophou, G. M. ;
N'Guerekata, G. M. ;
Pennequin, D. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) :903-909
[9]   New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications [J].
Blot, Joel ;
Cieutat, Philippe ;
Ezzinbi, Khalil .
APPLICABLE ANALYSIS, 2013, 92 (03) :493-526
[10]   Measure theory and pseudo almost automorphic functions: New developments and applications [J].
Blot, Joel ;
Cieutat, Philippe ;
Ezzinbi, Khalil .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) :2426-2447