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

共 19 条

[1] Three positive solutions to a discrete focal boundary value problem
Anderson, D
Avery, R
Peterson, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) : 103 - 118
[2] [Anonymous], PANAMER MATH J
[3] Existence of three positive solutions for some second-order boundary value problems
Bai, ZB
Ge, WG
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (5-6) : 699 - 707
[4] CHENG SS, 2001, ELECT J DIFFERENTIAL, P8
[5] Existence of three positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian
Feng, Hanying
Ge, Weigao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (07) : 2017 - 2026
[6] Guo D., 1988, NONLINEAR PROBLEMS A
[7] KANG SG, 2003, TOPOL METHOD NONL AN, V22, P245
[8] Existence of three periodic positive solutions for a class of integral equations with parameters
Kang, Shu-Gui
Zhang, Guang
Shi, Bao
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) : 654 - 665
[9] Kang SC, 2006, TOPOL METHOD NONL AN, V27, P387
[10] LI F, 1996, THESIS SHANDONG U JI

← 1 2 →