Abdelkader Belarbi, Mouffak Benchohra, Bapurao C. Dhage

Existence Theory for Perturbed Nonlinear Boundary Value Problems
with Integral Boundary Conditions

Abstract:
In this paper, the existence of solutions and extremal solutions for a second order perturbed nonlinear boundary value problem with integral boundary conditions is proved under the mixed generalized Lipschitz and Carathodory conditions.

Keywords:
Nonlinear boundary value problem, fixed point, extremal solutions.

MSC 2000: 34A60, 34B15