一类Fredholm型积分方程正解的存在性

Existence of Positive Solutions for a Class of Fredholm Integral Equations

利用锥上不动点指数定理研究Fredholm型积分方程u(t)=1∫0k(t,s)f(s,u(s))ds正解的存在性.结果表明,只要非线性项的增长速度是适当的,则该问题就存在正解.

The existence of the positive solutions of the following Fredholm integral equation u（t） =∫^1 0 k（t,s）f（s,u（s））ds was investigated by applying the fixed point theorem in cones. The main results show that the problem has a positive solution at least provided growth rates of nonlinear term are appropriate.