Almost periodic solutions for a nonlinear integro-differential equation with neutral delay

被引：3

作者：

Zou, Qiu-Feng ^{[1
]}

Ding, Hui-Sheng ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Almost periodic; pseudo almost periodic; integro-differential; neutral delay; INTEGRAL-EQUATIONS; EXISTENCE;

D O I：

10.22436/jnsa.009.06.88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of almost periodic and pseudo almost solutions for a nonlinear integro-differential equation with neutral delay, which arise in epidemic problems. By using almost periodic functions theory and fixed point theory, we obtain the results. Two examples are given to illustrate our results. In addition, an application to nonautonomous differential equations is also given. (C) 2016 All rights reserved.

引用

页码：4500 / 4508

页数：9

共 18 条

[1]

Bellour A., 2015, ELECT J DIFFERENTIAL, V100, P1

[2]

Bugajewski D., 2004, INT J MATH MATH SCI, V61, P3237

[3]

Dads EA, 2009, DIFFER INTEGRAL EQU, V22, P1075

[4]

Dads EA, 1997, NONLINEAR ANAL-THEOR, V28, P1479

[5] EXISTENCE OF POSITIVE PSEUDO ALMOST-PERIODIC SOLUTION FOR A CLASS OF FUNCTIONAL-EQUATIONS ARISING IN EPIDEMIC PROBLEMS [J].

DADS, EA ;

EZZINBI, K .

CYBERNETICS AND SYSTEMS ANALYSIS, 1994, 30 (06) :900-910

[6] Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations [J].

Dads, El Hadi Ait ;

Cieutat, Philippe ;

Lhachimi, Lahcen .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :721-739

[7]

Diagana T., 2013, Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces

[8] A note on the existence of positive bounded solutions for an epidemic model [J].

Ding, Hui-Sheng ;

N'Guerekata, Gaston M. .

APPLIED MATHEMATICS LETTERS, 2013, 26 (08) :881-885

[9]

Ding HS, 2012, ELECTRON J QUAL THEO, P1

[10] Existence of positive pseudo almost periodic solutions to a class of neutral integral equations [J].

Ding, Hui-Sheng ;

Chen, Yuan-Yuan ;

N'Guerekata, Gaston M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) :7356-7364

← 1 2 →