| 二阶P—Laplacian问题三个正解的存在性 |
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| 引用本文： | 史艳平,张科学,王峰.二阶P—Laplacian问题三个正解的存在性[J].数学理论与应用,2008,28(3):103-107. |
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| 作者姓名： | 史艳平 张科学 王峰 |
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| 作者单位： | 中国石油大学（华东）数学与计算科学学院,青岛 266555 |
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| 摘 要： | 本文要讨论了二阶P—Laplaci!an方程边值问题{△（φ（Au（t-1）））＋a（t），（t，u（t））=0，t∈N1，T＋1]；△u（O）=0，u（T＋2）=0三个正解的存在性。通过利用一个三解不动点定理，证明了当，（t，x）在满足较弱条件时该方程至少三个正解的存在性。
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| 关 键 词： | 差分方程 正解 锥 不动点定理 |
The Existence of Three Positive Solutions for p-Laplacian Difference Equations |
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| Shi Yanping Zhang Kexue Wang Feng.The Existence of Three Positive Solutions for p-Laplacian Difference Equations[J].Mathematical Theory and Applications,2008,28(3):103-107. |
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| Authors: | Shi Yanping Zhang Kexue Wang Feng |
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| Institution: | Shi Yanping Zhang Kexue Wang Feng (College of Mathematics and Computational Science, China University of Petroleum, Qingdao,266555) |
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| Abstract: | In this paper,by using a fixed point theorem in cones, we mainly proved the existence of at least three positive solutions for the boundary value problem {△（φ（Au（t-1）））＋a（t）,（t,u（t））=0,t∈N1,T＋1];△u（O）=0,u（T＋2）=0 |
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| Keywords: | Difference equation Positive solutions Fixed point theorem Cones |
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