Upper and Lower Solutions for BVPs on the Half-line with Variable Coefficient and Derivative Depending Nonlinearity

  • Smäıl DJEBALI, Samira ZAHAR
  • Published 2011

Abstract

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.

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Cite this paper

@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} }