| 带p-laplace算子的两点边值问题三个正解的存在性 |
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| 引用本文： | 李华,仉志余. 带p-laplace算子的两点边值问题三个正解的存在性[J]. 数学的实践与认识, 2008, 38(22) |
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| 作者姓名： | 李华 仉志余 |
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| 作者单位： | 1. 中北大学数学系,山西,太原,030051
2. 太原工业学院,数学系,山西,太原,030008 |
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| 基金项目： | 国家自然科学基金 ， 山西省自然科学基金 |
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| 摘 要： | 利用一个不动点定理,研究一类具有p-laplace算子的二阶微分方程的两点边值问题(φp(x′(t)))′+q(t)f(t,x(t),x′(t))=0,x(0)-B(x′(0))=0,x(1)+B(x′(1))=0.给出了三个正解存在的充分条件.推广并丰富了以往文献的一些结论.
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| 关 键 词： | p-laplace算子 两点边值问题 不动点定理 |
Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian |
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| LI Hua,ZHANG Zhi-yu. Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian[J]. Mathematics in Practice and Theory, 2008, 38(22) |
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| Authors: | LI Hua ZHANG Zhi-yu |
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| Affiliation: | 1.Department of Mathematics;North University of China;Taiyuan Shanxi 030051;China;2.Industry collage of Taiyuan;Taiyuan Shanxi 030008;China |
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| Abstract: | This paper considers the two-point boundary value problem with p-laplacian: (p(x′(t))′+q(t)f(t,x(t),x′(t))=0,x(0)-B(x′(0))=0,x(1)+B(x′(1))=0,by using a new fixed point theorem.We obtain the sufficient conditions that guarantee the existence of at least three solutions,and extend some conclusions of the references before. |
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| Keywords: | p-laplacian two-point boundary value problem fixed-point theorem |
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