| 一类带强制位势的二阶Hamilton系统的同宿轨的存在性 |
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| 引用本文： | 吴东伦,吴行平,唐春雷. 一类带强制位势的二阶Hamilton系统的同宿轨的存在性[J]. 西南师范大学学报(自然科学版), 2011, 36(1) |
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| 作者姓名： | 吴东伦 吴行平 唐春雷 |
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| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过对一列由最小作用原理得到的零边值问题的解取极限,得到了二阶哈密尔顿系统(ū)(t)-ΔV(t,u(t))=f(t)同宿轨的存在性结论.Abstract：The existence of homoclinic solution is obtained for second-order Hamiltonian systems ii(t) - (△)V(t,u(t)) = f(t), as the limit of a sequence of solutions for nil-boundary-value problems which are obtained via the least action principle.
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| 关 键 词： | 临界点 强制位势 二阶 Hamilton 系统 同宿轨 |
| 收稿时间： | 2009-11-18 |
| 修稿时间： | 2010-09-09 |
Existence of Homoclinic Orbits for a Class of Second-order Hamiltonian System with Coercive Potential |
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| WU Dong-lun,WU Xing-ping,TANG Chun-lei. Existence of Homoclinic Orbits for a Class of Second-order Hamiltonian System with Coercive Potential[J]. Journal of southwest china normal university(natural science edition), 2011, 36(1) |
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| Authors: | WU Dong-lun WU Xing-ping TANG Chun-lei |
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| Affiliation: | WU Dong-lun,WU Xing-ping,TANG Chun-lei School of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin |
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| Abstract: | The existence of homoclinic solution is obtained for second-order Hamiltonian systems ii(t) - (△)V(t,u(t)) = f(t), as the limit of a sequence of solutions for nil-boundary-value problems which are obtained via the least action principle. |
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| Keywords: | critical point coercive potential second-order Hamiltonian system homoclinic orbits |
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