| 时标上带p-Laplacian算子的m点边值问题正解的存在性 |
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| 引用本文： | 韩芳芳,范进军,范红梅. 时标上带p-Laplacian算子的m点边值问题正解的存在性[J]. 山东师范大学学报(自然科学版), 2014, 0(1): 1-4 |
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| 作者姓名： | 韩芳芳 范进军 范红梅 |
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| 作者单位： | [1]山东师范大学数学科学学院,济南250014 [2]山东省产品质量监督检验研究所,济南250102 |
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| 基金项目： | 山东省自然科学基金资助项目（ZR2013AM005）． |
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| 摘 要： | 利用 Leggett -Williams 不动点定理的一个扩展定理，研究了时标上的 p -Laplacian 算子多点边值问题至少三个正解的存在性。
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| 关 键 词： | 正解 时标 p -Laplacian算子 边值问题 不动点定理 |
EXISTENCE OF POSITIVE SOLUTIONS OF THE m -POINTS BOUNDARY VALUE PROBLEM WITH p -LAPLACIAN OPERATOR ON TIME SCALES |
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| Han Fangfang,Fan Jinjun,Fan Hongmei. EXISTENCE OF POSITIVE SOLUTIONS OF THE m -POINTS BOUNDARY VALUE PROBLEM WITH p -LAPLACIAN OPERATOR ON TIME SCALES[J]. Journal of Shandong Normal University(Natural Science), 2014, 0(1): 1-4 |
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| Authors: | Han Fangfang Fan Jinjun Fan Hongmei |
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| Affiliation: | 1 )School of Mathematics Science, Shandong Normal University, 250014,Jinan, China; 2 )Shandong Product Quality Supervision and Inspection Research Institute ,250102 ,Jinan, China ) |
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| Abstract: | The existence of positive solutions of the m -points boundary value problem with p -Laplacian operator on time scales is considered.By using the extension of the Leggett -Williams fixed point theorem,the existence of three positive solutions is obtained. |
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| Keywords: | positive solutions time scales p -Laplacian operator boundary value problem fixed point theorem |
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