| n-Laplacian常微分方程的奇性初值问题 |
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| 引用本文： | 王宏洲,葛渭高.n-Laplacian常微分方程的奇性初值问题[J].北京理工大学学报(英文版),2001,10(3):225-232. |
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| 作者姓名： | 王宏洲 葛渭高 |
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| 作者单位： | 北京理工大学应用数学系, |
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| 摘 要： | 研究一类带有n Laplacian算子的常微分方程的奇性初值问题 ,找出正解存在的充分条件 .在论证中主要采用了广义拓扑度、先验界的估计和分析方法 .在一定条件下 ,带有n Laplacian算子的奇性初值问题存在正解 .
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| 关 键 词： | 初值问题 nLaplacian算子 正解 锥 |
| 收稿时间： | 2000/6/26 0:00:00 |
Initial Value Problem of Singular n-Laplacian Equation |
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| WANG Hong zhou and GE Wei gao.Initial Value Problem of Singular n-Laplacian Equation[J].Journal of Beijing Institute of Technology,2001,10(3):225-232. |
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| Authors: | WANG Hong zhou and GE Wei gao |
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| Affiliation: | Dept. of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China;Dept. of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | To show some theorems on the existence of singular initial value problem with n Laplacian operator, topology method and methods of analysis are employed. Some existence theorems for initial value problems with n Laplacian operators are established in three singular cases. |
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| Keywords: | initial value problem n Laplacian operator positive solution cone |
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