Boundedness of solutions of forced isochronous oscillators with singularity at resonance

被引：1

作者：

Wang, Haiyong ^{[1
]}

Jiang, Shunjun ^{[2
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Coll Internet Things, Key Lab Broadband Wireless Commun & Sensor Networ, Nanjing 210003, Jiangsu, Peoples R China

[2] Nanjing Univ Technol, Coll Sci, Nanjing 210009, Jiangsu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

isochronous oscillators; repulsive singularity; small twist theorem; quasi-periodic solutions; boundedness of solution; QUASI-PERIODIC SOLUTIONS; UNBOUNDED SOLUTIONS; EQUATIONS; MOTIONS;

D O I：

10.1186/1687-1847-2014-55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the second-order periodic system: where has a singularity. Under some assumptions on the V, F, g, and p, by Ortega's small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.

引用

页数：15

共 13 条

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