EXISTENCE OF POSITIVE SOLUTIONS FOR BVPS TO INFINITE DIFFERENCE EQUATIONS WITH ONE-DIMENSIONAL p-LAPLACIAN

다국어 초록 (Multilingual Abstract)

Motivated by Agarwal and O Regan ( Boundary value problems for general discrete systems on in¯nite intervals, Comput.
Math. Appl. 33(1997)85-99), this article deals with the discrete type BVP of the in¯nite di？？erence equations. The su±cient condi-tions to guarantee the existence of at least three positive solutions are established. An example is presented to illustrate the main re- sults. It is the purpose of this paper to show that the approach to
get positive solutions of BVPs by using multi-¯xed-point theorems can be extended to treat BVPs for in¯nite di？？erence equations. The strong Caratheodory (S-Caratheodory) function is de¯ned in this paper.

목차 (Table of Contents)

• 1. Introduction
• 2. Main results

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