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
收藏
页码：518 / 525
页数：8
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