Some second-order three-point boundary value problem for discrete equations on the half-line

Main Article Content

Yu Tian
Weigao Gi

Abstract

In this paper, we study the existence of multiple positive solutions of boundary value problems for second-order three-point discrete equations  

 

$$\left \{\begin{array}{l}\Delta^2 x(n-1) - p\Delta x(n-1) - qx(n-1) + f(n, x(n)) = 0, \quad n \in N_0 \\ x(0) = \alpha x(l), \quad x(\infty) = 0\end{array}\right. . $$

 

The proofs are based on the fixed point theorem in Fr\'echet space (see [7]).

Article Details

How to Cite
Tian, Y., & Gi, W. (2008). Some second-order three-point boundary value problem for discrete equations on the half-line. Tamkang Journal of Mathematics, 39(4), 271–290. https://doi.org/10.5556/j.tkjm.39.2008.1
Section
Papers
Author Biographies

Yu Tian

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China.

Weigao Gi

Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China.