ALMOST PERIODIC AND PSEUDO ALMOST PERIODIC MILD SOLUTIONS TO A PARTIAL DIFFERENTIAL EQUATION VIA FRACTIONAL OPERATORS

被引：7

作者：

Chang, Yong-Kui ^{[1
]}

Zhao, Zhi-Han ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Sanming Univ, Inst Math & Informat Engn, Sanming, Fuijan, Peoples R China

[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2011年 / 32卷 / 12期

关键词：

Almost periodic; Existence and uniqueness; Fractional powers of operators; Pseudo almost periodic; EXISTENCE; DELAY;

D O I：

10.1080/01630563.2011.595565

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is mainly concerned with the existence and uniqueness of almost periodic and pseudo almost periodic mild solutions to a class of partial differential equations in Banach spaces. Under some reasonable assumptions, the main results are proved in alpha-norm. Our results cover the cases that the functions F-1; F-2 take values in different spaces such as X, X-alpha, and X-beta, where alpha <= beta is an element of (0; 1).

引用

页码：1219 / 1238

页数：20

共 50 条

[1] Asymptotically almost periodic, almost periodic and pseudo-almost periodic mild solutions for neutral differential equations
Zhao, Zhi-Han
Chang, Yong-Kui
Li, Wen-Sheng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3037 - 3044
[2] Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations
Cuevas, Claudio
Sepulveda, Alex
Soto, Herme
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1735 - 1745
[3] PIECEWISE WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS OF IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS VIA FRACTIONAL OPERATORS
Xia, Zhinan
Wang, Dingjiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[4] Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations
Hernández, E
Pelicer, ML
APPLIED MATHEMATICS LETTERS, 2005, 18 (11) : 1265 - 1272
[5] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Ezzinbi, Khalil
Toure, Hamidou
Zabsonre, Issa
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (02) : 313 - 338
[6] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Khalil Ezzinbi
Hamidou Toure
Issa Zabsonre
Differential Equations and Dynamical Systems, 2021, 29 : 313 - 338
[7] PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF THE SCALAR ORDINARY DIFFERENTIAL EQUATION
陈一元
Chinese Annals of Mathematics, 1990, (04) : 445 - 454
[8] Almost periodic solutions of a discrete almost periodic logistic equation
Li, Zhong
Chen, Gengde
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 254 - 259
[9] Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
Agarwal R.P.
Cuevas C.
Soto H.
Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 625 - 634
[10] Pseudo almost periodic solutions to some differential equations
Diagana, T
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (07) : 1277 - 1286

← 1 2 3 4 5 →