| 具p-Laplacian算子方程多点边值问题3个正解的存在性 |
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| 引用本文： | 刘兴元.具p-Laplacian算子方程多点边值问题3个正解的存在性[J].四川师范大学学报(自然科学版),2012(1):78-81. |
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| 作者姓名： | 刘兴元 |
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| 作者单位： | 邵阳学院数学系 |
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| 基金项目： | 湖南省教育厅科研基金(08C794)资助项目 |
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| 摘 要： | 具p-Laplacian算子微分方程多点的边值问题有许多应用,且有较多的研究,然而大多数的研究集中在对一个正解存在性的讨论,应用Leggett-Williams不动点定理,研究了一类具p-Laplacian算子方程混合型多点边值问题,获得了其存在多个正解的新的充分条件,推广了以前的定理,并举例说明了主要结果.
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| 关 键 词： | p-Laplacian算子微分方程 多点边值问题 正解 |
Existence of Three Positive Solutions of a Multi-point BVP for p-Laplacian Equations |
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| LIU Xing-yuan.Existence of Three Positive Solutions of a Multi-point BVP for p-Laplacian Equations[J].Journal of Sichuan Normal University(Natural Science),2012(1):78-81. |
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| Authors: | LIU Xing-yuan |
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| Institution: | LIU Xing-yuan(Department of Mathematics,Shaoyang College,Shaoyang 422000,Hunan) |
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| Abstract: | Multi-point boundary value problem for p-Laplacian equations have many applications and have been studied by many scholars.Most of the known results focus on the existence of at least one positive solutions.In this paper,using Leggett-willians fixed point theorem,the new sufficient conditions to guarantee the existence of multiple positive solutions of a kind of mixed type multi-point boundary value problem are established.An example is presented to illustrate the main result. |
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| Keywords: | one-dimension p-Laplacian differential equation multi-point boundary value problem positive solution |
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