Existence and uniqueness of pseudo almost. periodic solutions to some abstract partial neutral functional-differential equations and applications

被引：54
作者：
Diagana, Toka
Hernandez, Eduardo M.
机构：
[1] Howard Univ, Dept Math, Washington, DC 20059 USA
[2] Univ Fed Sao Paulo, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 02期
关键词：
partial functional-differential equations; pseudo almost periodic function;
D O I：
10.1016/j.jmaa.2006.04.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper considers the existence and uniqueness of pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Upon making some suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and the scalar reaction-diffusion equation with delay. (c) 2006 Elsevier Inc. All rights reserved.
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收藏
页码：776 / 791
页数：16
相关论文
共 36 条
[1]   Strict solutions of nonlinear hyperbolic neutral differential equations [J].
Adimy, M ;
Ezzinbi, K .
APPLIED MATHEMATICS LETTERS, 1999, 12 (01) :107-112
[2]  
[Anonymous], PITMAN RES NOTES MAT
[3]  
[Anonymous], 1999, ANN MATH BLAISE PASC
[4]  
[Anonymous], 1994, REV ROUMAINE MATH PU
[5]  
Corduneanu C., 1989, ALMOST PERIODIC FUNC
[6]   Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain [J].
Cuevas, C ;
Pinto, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (01) :73-83
[7]   Pseudo almost periodic solutions of some delay differential equations [J].
Dads, EA ;
Ezzinbi, K .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (03) :840-850
[8]  
Dads EA, 2002, DYN SYST APPL, V11, P493
[9]   Pseudo-almost-periodic solutions to some semilinear differential equations [J].
Diagana, T ;
Crépin, MM ;
N'Guérékata, GM .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) :89-96
[10]   Pseudo almost periodic solutions to some differential equations [J].
Diagana, T .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (07) :1277-1286
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