一阶差分方程周期边值问题一个或多个正解的存在性  

Existence of single and multiple solutions for first order discrete periodic boundary value problems

作　　者：许晓婕[1] 费祥历[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东东营257061

出　　处：《中国石油大学学报（自然科学版）》2011年第1期179-183,共5页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：中国石油大学(华东)基础科研基金(Y070815)

摘　　要：用一类锥不动点定理首先给出一阶差分周期边值问题的存在性原则,并应用此原则论证了该问题一个或多个正解的存在性,最后通过例证对该问题加以说明。The existence principle of single and multiple positive solutions for the first order discrete periodic boundary value problems was studied by employing a fixed point theorem in cones.Based on this principle,the existence of single and multiple positive solutions for the problems was given.Some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions were demonstrated.

关 键 词：周期边值问题 差分方程 正解 锥不动点定理 

分 类 号：O175.08[理学—数学]