Monotone iterative technique for nonlinear fourth order integro-differential equations
Classical Analysis and ODEs
2020-03-11 v1
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.
Cite
@article{arxiv.2003.04697,
title = {Monotone iterative technique for nonlinear fourth order integro-differential equations},
author = {Jinxiang Wang},
journal= {arXiv preprint arXiv:2003.04697},
year = {2020}
}
Comments
13 pages