Constant-sign solutions for singular systems of Fredholm integral equations

被引：4

作者：

Agarwal, Ravi P. ^{[1
,2
]}

O'Regan, Donal ^{[3
]}

Wong, Patricia J. Y. ^{[4
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

[4] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 15期

关键词：

constant-sign solutions; system of Fredholm integral equations; singular equations; VOLTERRA;

D O I：

10.1002/mma.1287

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the system of Fredholm integral equations u(i)(t)=integral(T)(0)g(i)(t,s)[H(i)(s,u(1)(s),u(2)(s), ... ,u(n)(s))+K(i)(s,u(1)(s),u(2)(s), ... , u(n)(s))]ds, t is an element of[0,T], 1 <= i <= n where T>0 is fixed and the nonlinearities H(i)(t, u(1), u(2), ... , u(n)) can be singular at t=0 and u(j)=0 where j is an element of {1, 2, ..., n}. Criteria are offered for the existence of constant-sign solutions, i.e. theta(i)u(i)(t) >= 0 for t is an element of[0, 1] and 1 <= i <= n, where theta(i) is an element of {1,- 1} is fixed. We also include an example to illustrate the usefulness of the results obtained. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：1783 / 1793

页数：11

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