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二阶离散周期边值问题的正解 被引量：4

Positive solutions to second-order discrete periodic boundary value problems
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摘要 考虑如下周期边值问题:-Δ[p(n-1)Δy(n-1)]+q(n)y(n)=f(n,y(n)),n∈[1,N],y(0)=y(N),p(0)Δy(0)=p(N)Δy(N).其中{y(n)}nN=+01是一个期望解.运用锥不动点定理,给出了二阶离散周期边值问题正解的新的存在性定理. In this paper,the consider the following periodic boundary value problem：-Δ[p（n-1）Δy（n-1）]＋q（n）y（n）=f（n,y（n））,n∈,y（0）=y（N）,p（0）Δy（0）=p（N）Δy（N）.where{y（n）}N＋0n=0 is a desired solution.This paper presents a new existence theory for positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones.
作者 王丽颖 张丽颖 李晓月
机构地区 白城师范学院数学系 健雄职业技术学校基础部 东北师范大学数学与统计学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2007年第2期11-15,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10571021)
关键词 周期边值问题 离散区间 存在性 正解 锥不动点定理 periodic boundary value problem discrete segment existence positive solution fixed point theorem in cone.
分类号 O175.1 [理学—基础数学]
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参考文献17

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二级参考文献9

  • 1林晓宁.一阶微分方程周期边值问题最优正解的存在性[J].东北师大学报（自然科学版）,2005,37(1):7-10. 被引量：6
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共引文献6

同被引文献13

引证文献4

二级引证文献5

东北师大学报（自然科学版）
2007年 第2期

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