| 具有有界位势的Lagrange系统的周期解 |
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| 引用本文： | 李成岳.具有有界位势的Lagrange系统的周期解[J].高校应用数学学报(A辑),1996(2):159-166. |
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| 作者姓名： | 李成岳 |
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| 作者单位： | 中央民族大学 北京理工大学 |
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| 摘 要： | 本文考虑Lagrange系统 d/dt ?/?(q,q)-?/?q(q,q)=0 (?)这儿?(q,ξ)=1/2 wum form i,j=1 to n a_(ij)(q)eξξ-V(q),q∈R~n,ξ∈R~n 。假设位势函数V有界,并且lim V(q)/|q|~2 =δ>0,V(q)=V(-q),则系统(?)具有一个以适当大的正数T为周期的非平凡解。
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| 关 键 词： | Lagrange系统 PS条件 周期解 位势函数 |
PERIODIC SOLUTIONS OF A LAGRANGE SYSTEM WITH BOUNDED POTENTIAL |
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| Li Chengyue Dept. of Math.,Central University of Nationalities,Beijing and Dept. of Appl. Math,Beijing Institute of Technology,Beijing.PERIODIC SOLUTIONS OF A LAGRANGE SYSTEM WITH BOUNDED POTENTIAL[J].Applied Mathematics A Journal of Chinese Universities,1996(2):159-166. |
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| Authors: | Li Chengyue Dept of Math Central University of Nationalities Beijing and Dept of Appl Math Beijing Institute of Technology Beijing |
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| Institution: | Li Chengyue Dept. of Math.,Central University of Nationalities,Beijing 100081 and Dept. of Appl. Math,Beijing Institute of Technology,Beijing 100081 |
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| Abstract: | |
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| Keywords: | Lagrangian System PS Condition Solution with Minimal Period |
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