Highly Influential

3 Excerpts

- Published 2011

This paper is concerned with a second-order nonlinear boundary value problem with a derivative depending nonlinearity and posed on the positive half-line. The derivative operator is time dependent. Upon a priori estimates and under a Nagumo growth condition, the Schauder’s fixed point theorem combined with the method of upper and lower solutions on unbounded domains are used to prove existence of solutions. A uniqueness theorem is also obtained and some examples of application illustrate the obtained results.

@inproceedings{DJEBALI2011UpperAL,
title={Upper and Lower Solutions for BVPs on the Half-line with Variable Coefficient and Derivative Depending Nonlinearity},
author={Sm{\"a}ıl DJEBALI and Samira ZAHAR},
year={2011}
}