| 一类无穷多点边值问题正解的存在性 |
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| 引用本文： | 陈瑞鹏.一类无穷多点边值问题正解的存在性[J].纯粹数学与应用数学,2010,26(3):495-500. |
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| 作者姓名： | 陈瑞鹏 |
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| 作者单位： | 西北师范大学数学系,甘肃,兰州,730070 |
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| 摘 要： | 研究一类二阶非线性常微分方程无穷多点边值问题正解的存在性,利用不动点指数理论得到了方程至少存在一个正解的若干充分条件.
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| 关 键 词： | 无穷多点边值问题 正解 锥 不动点指数理论 |
Existence of positive solutions to a type of infinite many points boundary value problems |
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| CHEN Rui-peng.Existence of positive solutions to a type of infinite many points boundary value problems[J].Pure and Applied Mathematics,2010,26(3):495-500. |
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| Authors: | CHEN Rui-peng |
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| Institution: | CHEN Rui-peng(Department of Mathematics,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | It studies the existence of positive solutions to a type of infinite many points boundary value problems for nonlinear second order ordinary differential equations,and some suffcient conditions of the existence with at least one positive solution are obtained by using the fixed point index theory. |
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| Keywords: | infinite points boundary value problems positive solutions cone fixed point index theory |
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