Bifurcation from Infinity and Multiple Solutions for Discrete Periodic Boundary Value Problems?

摘要：

This paper discusses a class of nonlinear second order discrete boundary value problems with parameter. We obtain the multiplicity result of symmetric solution for the problem in the condition that the nonlinear term grows in sublinear state. We determine different number of symmetric solutions of the problem in different range of the parameter near the resonant point, and each of theses solutions has its specific parity. The main methods used in this paper include Leray-Schauder principle and bifurcation theorem.

关键词：periodic boundary value problem、eigenvalues、solution、bifurcation

分类号：O175.7(数学分析)

在线出版日期：2012-11-06（万方平台首次上网日期，不代表论文的发表时间）

页数：共7页

页码：773-779