Existence of positive, negative and sign-changing periodic solutions for a class of integral equations

被引：1

作者：

Kang, Shugui ^{[1
]}

Cheng, Sui Sun ^{[2
]}

机构：

[1] Shanxi Datong Univ, Coll Math & Comp Sci, Datong 037009, Shanxi, Peoples R China

[2] Tsinghua Univ, Dept Math, Hsinchu 30043, Taiwan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 02期

关键词：

Integral equations; Cone; e-continuous; Sign-changing periodic solution; Fixed point theorem; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1016/j.cam.2009.12.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the simultaneous existence of positive, negative and sign-changing periodic solutions for a class of integral equations of the form phi(x) = integral([x,) (x+omega]boolean AND Omega) K(x, y)f(y, phi(y - tau)))dy, x is an element of Omega, is considered. where Omega is a closed subset of R-N with a periodic structure. Our main result is different from most existing results since they provide three constant sign periodic solutions only. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：518 / 525

页数：8

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