On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems

Abstract

where T ≥ 2 is a positive integer andΔu k u k 1 −u k is the forward difference operator. Throughout this paper, we denote by Z a, b the discrete interval {a, a 1, . . . , b}, where a and b are integers and a < b. We consider in 1.1 two different boundary conditions: a Dirichlet boundary condition u 0 0 and a Neumann boundary condition Δu T 0 . In the literature, the boundary condition considered in this paper is called a mixed boundary condition. We also consider the function space

DOI: 10.1155/2012/927607

Cite this paper

@article{Kone2012OnTS, title={On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems}, author={Blaise Kone and Stanislas Ouaro}, journal={Int. J. Math. Mathematical Sciences}, year={2012}, volume={2012}, pages={927607:1-927607:16} }