| POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES |
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| 引用本文： | Geng Fengjie Zhu Deming Li Hongzhi. POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES[J]. 高校应用数学学报(英文版), 2007, 22(1): 69-77. DOI: 10.1007/s11766-007-0009-8 |
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| 作者姓名： | Geng Fengjie Zhu Deming Li Hongzhi |
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| 作者单位： | [1]Department of Mathematics, East China Normal University, Shanghai 200062, China [2]College of Science, Agricultural University of Hebei, Baoding 071000, China. |
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| 摘 要： | The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems.
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| 关 键 词： | 三点边值问题 p-拉普拉斯动态方程 时间尺度 正解 |
| 收稿时间： | 2006-02-09 |
Positive solutions for p-Laplacian dynamic equations on time scales |
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| Geng Fengjie,Zhu Deming,Li Hongzhi. Positive solutions for p-Laplacian dynamic equations on time scales[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(1): 69-77. DOI: 10.1007/s11766-007-0009-8 |
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| Authors: | Geng Fengjie Zhu Deming Li Hongzhi |
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| Affiliation: | (1) Department of Mathematics, East China Normal University, Shanghai, 200062, China;(2) College of Science, Agricultural University of Hebei, Baoding, 071000, China |
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| Abstract: | The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel'skii's fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions.Furthermore, some examples are included to illustrate the main theorems. |
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| Keywords: | time scale jump operator three-point boundary value problem dynamic equation cone |
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