International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 757-764
doi:10.1155/S0161171295000974

Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

Abstract

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.