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.
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页码：1783 / 1793
页数：11
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