Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 1, Pages 47-69
Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces
1Department of Mathematics, Shandong University, Jinan, China
2Department of Mathematics, University of Alberta, Edmonton T6G 2G1, Canada
Received 1 June 1990; Revised 1 December 1990
Copyright © 1991 Dajun Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we combine the fixed point theory, fixed point index
theory and cone theory to investigate the nonnegative solutions of two-point
BVP for nonlinear second order integrodifferential equations in Banach spaces.
As application, we get some results for the third order case. Finally, we give
several examples for both infinite and finite systems of ordinary nonlinear