Monotone iterative technique for nonlinear fourth order integro-differential equations

Abstract

In this paper, we consider the solvability of a class of nonlinear fourth order integro-differential equations with Navier boundary condition. We first deal with a corresponding linear problem and establish a maximum principle. Using the maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear problem under certain conditions. Some examples are presented to illustrate the main results.

arXiv comment13 pages

Cited by in corpus (1)

• Existence results and iterative method for solving a fourth order nonlinear integro-differential equation