| 二阶非线性常微分方程组耦合系统的奇异边值问题正解的存在性 |
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| 引用本文： | 田家财,范进军. 二阶非线性常微分方程组耦合系统的奇异边值问题正解的存在性[J]. 山东科学, 2006, 19(1): 16-19,31 |
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| 作者姓名： | 田家财 范进军 |
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| 作者单位： | 山东师范大学数学科学学院,山东,济南,250014;山东师范大学数学科学学院,山东,济南,250014 |
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| 摘 要： | 本文利用不动点指数理论讨论了二阶非线性常微分方程组耦合系统的奇异边值问题多个正解的存在性,得到了两个正解的结果.
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| 关 键 词： | 奇异边值问题 正解 锥 |
| 文章编号： | 1002-4026（2006）01-0016-04 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005-06-20 |
Positive solutions for singular boundary value problems of a coupled system of nonlinear ordinary differential equations |
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| TIAN Jia-cai,FAN Jin-jun. Positive solutions for singular boundary value problems of a coupled system of nonlinear ordinary differential equations[J]. Shandong Science, 2006, 19(1): 16-19,31 |
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| Authors: | TIAN Jia-cai FAN Jin-jun |
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| Affiliation: | School of Mathematics Science, Shandong Normal University, Jinan 250014, China |
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| Abstract: | By using fixed point theorem of cone expansion and compression,this paper discusses the existence of multiple positive solutions for singular boundary value problems of a coupled system of nonlinear ordinary differential equations.Two positive solutions are abtained. |
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| Keywords: | singular boundary value problem positive solution cone |
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