Multiple positive solutions of quasi-linear boundary value problems for finite difference equations

作者：Pang Huihui^*; Feng Hanying; Ge Weigao

来源：Applied Mathematics and Computation, 2008, 197(1): 451-456.

DOI：10.1016/j.amc.2007.06.027

• boundary value problem
• multiple positive solutions
• cone
• finite difference equation
• p-Laplacian

In this paper, we consider a discrete second-order quasi-linear boundary value problem which nonlinear term f is involved with the first order difference. By using a generalization of the Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.

• 出版日期2008-3-15
• 单位北京理工大学