| 奇异四阶p-Lapacian差分方程边值正解的存在唯一性 |
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| 引用本文： | 苑成军,文香丹,孟庆元.奇异四阶p-Lapacian差分方程边值正解的存在唯一性[J].东北师大学报(自然科学版),2010,42(1). |
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| 作者姓名： | 苑成军 文香丹 孟庆元 |
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| 作者单位： | 东北师范大学数学与统计学院,吉林,长春,130024;延边大学理学院数学系,吉林,延吉,133002;吉林交通职业技术学院,吉林,长春,130051 |
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| 基金项目： | 国家自然科学基金资助项目，黑龙江省教育厅科研技术项目 |
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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~2φ_p(Δ~2y(i-1))]+λF(i,y(i))=0,i∈1,T+3],λ0;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,p1,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.
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| 关 键 词： | 奇异混合单调算子 不动点定理 边值问题 p-Laplacian算子 |
Existence and uniqueness of positive solutions for fourth-order nonlinear singular discrete boundary value problems with p-Lapacian operator |
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| YUAN Cheng-jun,WEN Xiang-dan,MENG Qing-yuan.Existence and uniqueness of positive solutions for fourth-order nonlinear singular discrete boundary value problems with p-Lapacian operator[J].Journal of Northeast Normal University (Natural Science Edition),2010,42(1). |
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| Authors: | YUAN Cheng-jun WEN Xiang-dan MENG Qing-yuan |
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| Abstract: | 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. |
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| Keywords: | singular mixed monotone operator fixed point theorem boundary value problems p-Lapacian operator |
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