| 渐近线性二阶常微分方程组解的存在性和多重性 |
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| 引用本文： | 卜玉成,束永祥,卢蕊,凌蕾花.渐近线性二阶常微分方程组解的存在性和多重性[J].镇江高专学报,2010,23(3):62-65. |
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| 作者姓名： | 卜玉成 束永祥 卢蕊 凌蕾花 |
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| 作者单位： | [1]镇江高等专科学校教师教育系,江苏丹阳212310 [2]镇江高等专科学校学报编辑部,江苏镇江212003 [3]镇江高等专科学校人事处,江苏镇江212003 |
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| 基金项目： | 镇江高等专科学校2010年度校级科研课题，江苏省"青蓝工程"资助项目 |
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| 摘 要： | 研究一类渐近线性二阶常微分方程组解的情况。通过建立对应线性二阶常微分方程组的指标理论,得到渐近线性二阶常微分方程组解的存在性与多重性判定方法和实例。
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| 关 键 词： | 二阶常微分方程组 线性系统的指标理论 解的存在性 解的多重性 |
Existence and multiplicity of solutions of asymptotically linear second-order ordinary differential systems |
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| BU Yu-cheng,SU Yong-xiang,LU Rui,LING Lei-hua.Existence and multiplicity of solutions of asymptotically linear second-order ordinary differential systems[J].Journal of Zhenjiang College,2010,23(3):62-65. |
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| Authors: | BU Yu-cheng SU Yong-xiang LU Rui LING Lei-hua |
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| Institution: | 1.Teachers＇ Training Department,Zhenjiang College,Danyang 212300,China; 2.Journal Editorial Department,Zhenjiang College,Zhenjiang 212003,China;3.Personnel Department,Zhenjiang College,Zhenjiang 212003,China) |
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| Abstract: | Solutions of asymptotically linear second-order ordinary differential systems are discussed and index theory of correspondingly linear systems is established.Existence and multiplicity of solutions of asymptotically linear second-order ordinary differential systems are obtained from it.At the same time,examples are given. |
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| Keywords: | second-order ordinary differential systems index theory of linear systems existence of solutions multiplicity of solutions |
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