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| 时标上带p-Laplacian算子的二阶微分方程三点边值问题正解的存在性 | |
| 引用本文： | 张妍,范进军,范红梅. 时标上带p-Laplacian算子的二阶微分方程三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): 11-13,19 |
| 作者姓名： | 张妍 范进军 范红梅 |
| 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 |
| 基金项目： | 山东省自然科学基金资助项目（ZR2013AM005）． |
| 摘 要： | 利用 Leggett -Williams 不动点定理，给出时标上一类带 p -Laplacian 算子的二阶微分方程三点边值问题至少三个正解存在的充分条件。 |
| 关 键 词： | 正解 时标 边值问题 不动点定理 |
EXISTENCE OF POSITIVE SOLUTIONS FOR p -LAPLACIAN DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES |
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| Zhang Yan,Fan Jinjun,Fan Hongmei. EXISTENCE OF POSITIVE SOLUTIONS FOR p -LAPLACIAN DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES[J]. Journal of Shandong Normal University(Natural Science), 2014, 0(1): 11-13,19 | |
| Authors: | Zhang Yan Fan Jinjun Fan Hongmei |
| Affiliation: | 1 ) School of Mathematics Science, Shandong Normal University,250014, Jinan, China; 2 )Shandong Product Quality Supervision and Inspection Research Institute ,250102 ,Jinan, China ) |
| Abstract: | We present sufficient conditons for existence of at least three positive solutions to a type of second-order three -point boundary value problems with p -Laplacian operators on time scales by using the fixed -point theorem due to Leggett -Williams. |
| Keywords: | positive solution time scales dynamic equation fixed point theorem |
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