三阶非线性差分方程组边值问题的多个正解  

Multiple Positive Solutions of BVPs for Third-Order Nonlinear Difference Systems

作　　者：史红波[1] 

机构地区：[1]淮阴师范学院数学系,江苏淮安223300

出　　处：《江西师范大学学报（自然科学版）》2009年第3期331-334,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10801065)资助项目

摘　　要：讨论了一类三阶差分方程组Dirichlet型边值问题,借助Green函数的有关性质,在非线性项满足一定条件下,运用Leggett-Williams不动点定理建立了3个正解的存在性.This paper is concerned with a class of third order difference systems with Dirichlet boundary condition. By virtue of the corresponding property of Green function and using Leggett-Williams fixed point theorem, the existence of three positive solutions of this systems are obtained under the assumption that the nonlinear term satisfies some suitable conditions.

关 键 词：差分方程组 边值问题 正解 锥 不动点 

分 类 号：O175.08[理学—数学]