| 时间测度上带p-Laplace算子的m点边值问题正解的存在性 |
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| 引用本文： | 范进军,张雪玲,刘衍胜. 时间测度上带p-Laplace算子的m点边值问题正解的存在性[J]. 山东大学学报(理学版), 2012, 47(6): 16-19,33 |
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| 作者姓名： | 范进军 张雪玲 刘衍胜 |
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| 作者单位： | 山东师范大学数学科学学院,山东济南,250014 |
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| 基金项目： | 国家自然科学基金资助项目(11171192) |
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| 摘 要： | 利用Legget-Williams不动点定理讨论时间测度链上带p-Laplace算子的m点边值问题,得到该问题三个正解的存在性结果,并给出例子说明条件的合理性。
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| 关 键 词： | 时间测度链 边值问题 正解 锥 不动点 |
Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales |
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| FAN Jin-jun,ZHANG Xue-ling,LIU Yan-sheng. Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales[J]. Journal of Shandong University, 2012, 47(6): 16-19,33 |
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| Authors: | FAN Jin-jun ZHANG Xue-ling LIU Yan-sheng |
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| Affiliation: | (School of Mathematical Science,Shandong Normal University,Jinan 250014,Shandong,China) |
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| Abstract: | The existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales are considered.By using the Legget-Williams fixed point theorem,the existence of three positive solutions is obtained.As an application,an example verified our results. |
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| Keywords: | time scale boundary value problem positive solutions cone fixed point |
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