| 无穷区间上二阶m点共振边值问题解的存在性和唯一性 |
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| 引用本文： | 禹长龙,李志广,魏会贤,王菊芳.无穷区间上二阶m点共振边值问题解的存在性和唯一性[J].河北科技大学学报,2013,34(1):7-14. |
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| 作者姓名： | 禹长龙 李志广 魏会贤 王菊芳 |
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| 作者单位： | 河北科技大学理学院;山西大同大学数学与计算机科学学院;石家庄铁路职业技术学院基础部 |
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| 基金项目： | 国家自然科学基金资助项目(10901045);河北省自然科学基金资助项目(A2011208012,A2009000664) |
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| 摘 要： | 运用J.Mawhin迭合度理论研究了2类二阶m点共振边值问题。通过构造Green函数并且赋予f适当的条件,建立了相应边值问题解的存在性和唯一性定理。
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| 关 键 词： | 共振边值问题 迭合度理论 Green函数 |
| 收稿时间： | 2012/10/11 0:00:00 |
Existence and uniqueness of solutions for second-order m-point boundary value problems at resonance on infinite interval |
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| YU Changlong,LI Zhiguang,WEI Huixian and WANG Jufang.Existence and uniqueness of solutions for second-order m-point boundary value problems at resonance on infinite interval[J].Journal of Hebei University of Science and Technology,2013,34(1):7-14. |
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| Authors: | YU Changlong LI Zhiguang WEI Huixian and WANG Jufang |
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| Institution: | 1 (1.School of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;2.School of Mathematics and Computer Science,Shanxi Datong University,Datong Shanxi 037009,China;3.Department of Fundamental,Shijiazhuang Vocational Technology Institute,Shijiazhuang Hebei 050047,China) |
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| Abstract: | J.Mawhin coineidence degree theory was used to study two kinds of second-order m-point boundary value problems at resonance on infinite interval.By constructing Green function and equipping f with some proper conditions,the existence and uniqueness theorems were established for corresponding boundary value problems. |
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| Keywords: | boundary value problem at resonance coineidence degree theory Green function |
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