International Journal of Difference Equations
Open Access
  • Year: 2006
  • Volume: 1
  • Issue: 1

Singular Discrete Higher Order Boundary Value Problems

  • Author:
  • Johnny Henderson, Curtis J. Kunkel
  • Total Page Count: 15
  • Page Number: 119 to 133

Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA.

* E-mail: johnny_henderson@baylor.edu

** E-mail: curtis_kunkel@baylor.edu

AMS subject classification: 39A10, 34B16.

Abstract

We study singular discrete nth order boundary value problems with mixed boundary conditions. We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems.

Keywords

Singular discrete boundary value problem, mixed conditions, lower and upper solutions, Brouwer fixed point theorem, approximate regular problems