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 50 条

[21] Existence of solutions for a class of fractional differential equations with integral and anti-periodic boundary conditions
Yan Qiao
Zongfu Zhou
Boundary Value Problems, 2017
[22] Existence of solutions for a class of fractional differential equations with integral and anti-periodic boundary conditions
Qiao, Yan
Zhou, Zongfu
BOUNDARY VALUE PROBLEMS, 2017,
[23] THE EXISTENCE OF PERIODIC SOLUTIONS OF A CLASS OF DIFFERENTIAL DIFFERENCE EQUATIONS
温立志
Science Bulletin, 1987, (13) : 934 - 935
[24] Existence of Periodic Solutions for a Class of the Generalized Lienard Equations
Teresa de Bustos, Maria
Diab, Zouhair
Guirao, Juan Luis G.
Lopez, Miguel A.
Martinez, Raquel
SYMMETRY-BASEL, 2022, 14 (05):
[25] On the existence of solutions for a class of systems of functional integral equations of Volterra type in two variables
Allahyari, R.
Arab, R.
Haghigh, A. Shole
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2015, 39 (A3): : 407 - 415
[26] AN EXISTENCE RESULT FOR A CLASS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS
Latrach, Khalid
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2015, 27 (02) : 199 - 218
[27] ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS
王克
SystemsScienceandMathematicalSciences, 1990, (01) : 25 - 35
[28] Global existence of solutions of nonlinear functional integral equations
Dhakne, MB
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1999, 30 (07): : 735 - 744
[29] ON THE EXISTENCE OF SOLUTIONS OF CERTAIN FUNCTIONAL AND INTEGRAL-EQUATIONS
SUKHININ, MF
RUSSIAN MATHEMATICAL SURVEYS, 1985, 40 (02) : 236 - 236
[30] Existence of extremal solutions for discontinuous functional integral equations
Dhage, B. C.
APPLIED MATHEMATICS LETTERS, 2006, 19 (09) : 881 - 886

← 1 2 3 4 5 →