| 含有一阶导数的一维p-Laplacian算子方程的可解性 |
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| 引用本文： | 杨景保,韦忠礼.含有一阶导数的一维p-Laplacian算子方程的可解性[J].安庆师范学院学报(自然科学版),2008,14(1):16-18. |
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| 作者姓名： | 杨景保 韦忠礼 |
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| 作者单位： | 1. 亳州师范高等专科学校,理科系,安徽,蒙城,233500
2. 山东建筑大学,理学院,山东,济南,250101 |
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| 摘 要： | 应用Schauder不动点定理,研究含有一维p-Laplacian算子的非线性两点边值问题的可解性,得到这类方程的解的几个存在性定理,结果表明:如果非线性项在其定义域的某个有界子集上的"高度"是适当的,那么该问题必存在解或正解。
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| 关 键 词： | 非线性微分方程 边界值问题 Schauder不动点定理 p-Laplacian算子 |
Solvability of One-dimensional p-Laplacian Operator Equation with First Derivative |
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| YANG Jing-bao,WEI Zhong-li.Solvability of One-dimensional p-Laplacian Operator Equation with First Derivative[J].Journal of Anqing Teachers College(Natural Science Edition),2008,14(1):16-18. |
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| Authors: | YANG Jing-bao WEI Zhong-li |
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| Abstract: | By applying Schauder fixed point theorem,we study the solvability of one-dimensional p-Laplacian operator equation for the nonlinear two-point boundary value problems with one-dimensional p-Laplacian operator and get some existence theorems.The main results show that the class of equations has at least one solution or positive solution if the "height" of nonlinear term is appropriate on a bounded subset of its definitional domain. |
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| Keywords: | Nonlinear differential equation Boundary value problems Schauder fixed point theorem p-Laplacian operator |
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