J4

• 数学 • Previous Articles     Next Articles

Existence of Positive Solutions for a Class ofFredholm Integral Equations

ZHANG Qingming1, WANG Lei2,3   

  1. 1. Jilin Public Security Academy, Changchun 130117, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China
  • Received:2008-07-15 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
  • Contact: ZHANG Qingming

Abstract: The existence of the positive solutions of the following Fredholm integral equation u(t)=∫10k(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.

Key words: Fredholm integral equations, positive solutions, first eigenvalue, fixed point index

CLC Number: 

  • O175.08