Existence of periodic solutions for a class of functional integral equations

被引：0

作者：

Long, Wei ^{[1
]}

Zheng, Xiong-Jun ^{[1
]}

Li, Lu ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 57期

关键词：

functional integral equation; periodic solution; FRACTIONAL ORDER; BANACH-ALGEBRAS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of periodic solution for a class of nonlinear functional integral equation. We prove a fixed point theorem in a Banach algebra. As an application, an existence theorem about periodic solutions to the addressed functional integral equation is presented. In addition, an example is given to illustrate our result.

引用

页码：1 / 11

页数：11

共 20 条

[1] Attractivity results for a nonlinear functional integral equation [J].

Agarwal, Ravi P. ;

Banas, Jozef ;

Dhage, Bapurao C. ;

Sarkate, Sidharth D. .

GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (01) :1-19

[2] Solutions of some functional-integral equations in Banach algebra [J].

Banas, J ;

Sadarangani, K .

MATHEMATICAL AND COMPUTER MODELLING, 2003, 38 (3-4) :245-250

[3]

Banas J., 2002, Panam. Math. J, V12, P101

[4] Monotonic solutions of a quadratic integral equation of fractional order [J].

Banas, Jozef ;

Rzepka, Beata .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1371-1379

[5] A new approach to the theory of functional integral equations of fractional order [J].

Banas, Jozef ;

Zajac, Tomasz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (02) :375-387

[6]

Banas J, 2009, Z ANAL ANWEND, V28, P475

[7] New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations [J].

Ben Amar, Afif ;

Chouayekh, Soufiene ;

Jeribi, Aref .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (09) :2215-2237

[8] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[9]

Dhage B. C., 2004, Kyungpook Mathematical Journal, V44, P145

[10] Asymptotic behaviour of nonlinear quadratic functional integral equations involving Caratheodory [J].

Dhage, B. C. ;

Imdad, M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1285-E1291

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