Difference phi-Laplacian periodic boundary value problems: existence and localization of solutions.

  1. V. Otero Espinar
  2. A. Cabada
Proceedings:
Proceedings of the Sixth International Conference on Difference Equations. New Progress in Difference Equations

Publisher: Chapman & Hall

Year of publication: 2004

Pages: 367-374

Congress: International Conference on Difference Equations

Type: Conference paper

Abstract

His paper is devoted to the study of nonlinear difference phi Laplacian problems with periodic boundary value conditions. Using known results that assure the existence of solutions for the considered problems, we obtain sufficient conditions in the nonlinear part of the equations that allow us to define a lower and an upper solution for the treated problems and deduce existence of solutions.