Abdelkader Belarbi, Mouffak Benchohra, Bapurao C. Dhage

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

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.

Nonlinear boundary value problem, fixed point, extremal solutions.

MSC 2000: 34A60, 34B15