Lagrangian Stability of a Class of Second-Order Periodic Systems

被引：2
|
作者：
Jiang, Shunjun [1 ]
Fang, Fang [2 ]
机构：
[1] Nanjing Univ Technol, Coll Sci, Nanjing 210009, Peoples R China
[2] Nanjing Inst Technol, Dept Basic Course, Nanjing 211167, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2011/106214
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the following second-order periodic system: x '' + V'(x) + p(t) = 0 where V(x) has a singularity and p(t) = p(t + 1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.
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页数：28
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