| 渐近线性二阶Hamilton系统解的存在性和多重性 |
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| 引用本文： | 卜玉成. 渐近线性二阶Hamilton系统解的存在性和多重性[J]. 纯粹数学与应用数学, 2010, 26(6): 977-983. DOI: 10.3969/j.issn.1008-5513.2010.06.014 |
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| 作者姓名： | 卜玉成 |
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| 作者单位： | 镇江市高等专科学校教师教育系,江苏,丹阳,212310 |
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| 摘 要： | 在实际问题中存在着Neumann边值情形.为实际需要,运用指标理论和Morse理论研究了渐近线性二阶Hamilton系统在这种情形下解的存在性和多重性问题。
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| 关 键 词： | 二阶Hamilton系统 指标理论 Neumann边值 Morse理论 解的存在性和多重性 |
Existence and multiplicity of solutions for asymptotically linear second-order Hamilton systems |
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| BU Yu-cheng. Existence and multiplicity of solutions for asymptotically linear second-order Hamilton systems[J]. Pure and Applied Mathematics, 2010, 26(6): 977-983. DOI: 10.3969/j.issn.1008-5513.2010.06.014 |
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| Authors: | BU Yu-cheng |
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| Affiliation: | BU Yu-cheng(Department of Teachers’ Training,Zhenjiang College,Danyang 212310,China) |
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| Abstract: | There are Neumann boundary value conditions in reality.For practical purposes,this paper is making use of Index theory and Morse theory to study asymptotically linear second-order Hamilton systems with Neumann boundary value conditions. |
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| Keywords: | second-order Hamilton systems index theory Neumann boundary value conditions Morse theory existence and multiplicity of solutions |
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