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奇异四阶p-Lapacian差分方程边值正解的存在唯一性 被引量：2

Existence and uniqueness of positive solutions for fourth-order nonlinear singular discrete boundary value problems with p-Lapacian operator
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摘要 利用混合单调算子,给出了奇异四阶差分方程边值问题{Δ~2[φ_p（Δ~2y（i-1））]＋λF（i,y（i））=0,i∈[1,T＋3],λ〉0;y（0）=y（T＋4）=0;Δ2y（0）=Δ2y（T＋2）=0正解的存在唯一性,其中φp（s）=｜s｜p-2s,p〉1,F∈C（（0,T＋4）×（0,＋∞）,（0,＋∞））,[1,T＋3]={1,2,…,T＋3},[0,T＋4]={0,1,2,…,T＋4},并且非线性项F在y=0可能是奇异的. By means of a fixed point theorem,existence and uniqueness of positive solutions for four-order four-point nonlinear singular discrete boundary value problems with p-Lapacian operator.The theorems obtained are very general and complement previous known results.
作者 苑成军 文香丹 孟庆元
机构地区 东北师范大学数学与统计学院 延边大学理学院数学系 吉林交通职业技术学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2010年第1期5-9,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(10971021) 黑龙江省教育厅科研技术项目(11544032)
关键词 奇异混合单调算子 不动点定理 边值问题 P-LAPLACIAN算子 singular mixed monotone operator fixed point theorem boundary value problems p-Lapacian operator
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献15

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二级参考文献13

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共引文献10

同被引文献15

  • 1翁世有,高海音,张晓颖,蒋达清.一维p-Laplacian奇异边值问题的存在性原则[J].吉林大学学报（理学版）,2006,44(3):351-356. 被引量：4
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引证文献2

二级引证文献3

东北师大学报（自然科学版）
2010年 第1期

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