| 带p-Laplacian算子时滞微分方程多点边值问题的正解 |
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| 引用本文： | 董士杰,周长杰.带p-Laplacian算子时滞微分方程多点边值问题的正解[J].河北科技大学学报,2010,31(5):385-389,395. |
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| 作者姓名： | 董士杰 周长杰 |
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| 作者单位： | 1. 军械工程学院基础部,河北石家庄,050003
2. 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金资助项目，河北省自然科学基金资助项目 |
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| 摘 要： | 研究带p-Laplacian算子时滞微分方程多点边值问题,应用Avery和Peterson推广的Leggett-Williams不动点定理,给出了该边值问题至少存在3个正解的充分条件。
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| 关 键 词： | 多点边值问题 时滞 Avery-Peterson不动点定理 |
| 收稿时间： | 2010/4/18 0:00:00 |
Positive solutions to multi-point boundary value problems of delay differential equations with one-dimensional p-Laplacian |
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| DONG Shi-jie and ZHOU Chang-jie.Positive solutions to multi-point boundary value problems of delay differential equations with one-dimensional p-Laplacian[J].Journal of Hebei University of Science and Technology,2010,31(5):385-389,395. |
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| Authors: | DONG Shi-jie and ZHOU Chang-jie |
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| Institution: | 1.Department of Basic Courses,Ordnance Engineering College,Shijiazhuang Hebei 050003,China;2.College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China) |
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| Abstract: | This paper is concerned with the multi-point boundary value problems of delay differential equations with one-dimensional p-Laplacian.By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson,we provide sufficient conditions for the existence of at least three positive solutions to the boundary value problems. |
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| Keywords: | multipoint boundary value problem delay Avery-Peterson fixed point theorem |
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