Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 58, pp. 1-30.

Title: Nonnegative solutions to an integral equation and its 
       applications to systems of boundary value problems 
   
Author: Ioannis K. Purnaras (Univ. of Ioannina, Greece)

Abstract:
 We study the existence of positive eigenvalues yielding nonnegative
 solutions to an integral equation. Also we study the positivity of
 solutions on specific sets. These results are obtained by using
 a fixed point theorem in cones and are illustrated by application
 to systems of boundary value problems.
 
Submitted February 27, 2009. Published April 24, 2009.
Math Subject Classifications: 34B18, 34A34.
Key Words: Nonnegative solutions;integral equation; eigenvalue;
           systems of boundary value problems.