| 带p-Laplacian算子的三阶微分方程边值问题三个正解的存在性 |
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| 引用本文： | 张立新,葛渭高.带p-Laplacian算子的三阶微分方程边值问题三个正解的存在性[J].系统科学与数学,2011,31(7). |
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| 作者姓名： | 张立新 葛渭高 |
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| 作者单位： | 1. 北京联合大学基础部,北京,100101
2. 北京理工大学数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(11071014); 北京联合大学中青年骨干教师项目资助 |
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| 摘 要： | 应用Avery-Peterson不动点定理,讨论了带p-Laplacian算子的三阶三点边值问题,当非线性项f满足一定增长条件时,得到了上述边值问题至少存在三个正解的充分条件.
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| 关 键 词： | 三阶边值问题 不动点定理 正解 |
EXISTENCE OF THREE POSITIVE SOLUTIONS FOR THIRD-ORDER DIFFERENTIAL EQUATIONS OF BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN |
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| ZHANG Lixin,GE Weigao.EXISTENCE OF THREE POSITIVE SOLUTIONS FOR THIRD-ORDER DIFFERENTIAL EQUATIONS OF BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN[J].Journal of Systems Science and Mathematical Sciences,2011,31(7). |
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| Authors: | ZHANG Lixin GE Weigao |
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| Affiliation: | ZHANG Lixin (Department of Basic Courses,Beijing Union University,Beijing 100101) GE Weigao (Department of Mathematics,Beijing Institute of Technology,Beijing 100081) |
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| Abstract: | In this paper,a third-order three-point boundary value problem with p-Laplacian is considered.By using Avery-Peterson fixed point theorem,it is proven that there exist at least three positive solutions for the above problem,when f satisfies some growth conditions. |
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| Keywords: | Third-order boundary value problem Avery-Peterson fixed point theorem positive solution |
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