| 时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性(英文) |
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| 引用本文： | 金燕,张忠军,杨军,宋娜娜.时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性(英文)[J].中国科学技术大学学报,2011(6). |
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| 作者姓名： | 金燕 张忠军 杨军 宋娜娜 |
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| 作者单位： | 燕山大学理学院; |
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| 基金项目： | Supported by the NNSF of China(60604004); the Special Projects in Mathematics Funded by NSF of Hebei Province (07 M005); Science and Technology Support Projects of Qinhuangdao (201001A037). |
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| 摘 要： | 讨论了一类时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性.利用不动点定理,建立了上述边值问题至少2个和至少3个正解存在的充分条件.同时也给出了例子加以验证.
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| 关 键 词： | 脉冲动力方程 时标 正解 p拉普拉斯 不动点定理 边值 锥 |
Positive solutions to boundary value problems for mimpulsive points p-Laplacian dynamic equations on time scales |
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| JIN Yan,ZHANG Zhongjun,YANG Jun,SONG Nana.Positive solutions to boundary value problems for mimpulsive points p-Laplacian dynamic equations on time scales[J].Journal of University of Science and Technology of China,2011(6). |
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| Authors: | JIN Yan ZHANG Zhongjun YANG Jun SONG Nana |
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| Institution: | JIN Yan,ZHANG Zhongjun,YANG Jun,SONG Nana(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The existence of positive solutions to boundary value problem for m impulsive points p-Laplacian dynamic equations on time scales was disscussed.Using fixed point theorems for an operator on a cone,sufficient conditions were established for the existence of at least two and three positive solutions to the above boundary value problem.Also,some examples were provided to demonstrate the main results. |
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| Keywords: | impulsive dynamic equation time scales positive solution p-Laplacian fixed point theorem boundary value problem cone |
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