Boundedness of solutions for a class of second-order differential equation with singularity

被引：1

作者：

Jiang, Shunjun ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

boundedness of solutions; singularity; small twist theorem; QUASI-PERIODIC SOLUTIONS; DUFFING EQUATIONS; POTENTIALS; EXISTENCE;

D O I：

10.1186/1687-2770-2013-84

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following second-order periodic system: x '' + V'(x) + p(t)vertical bar x vertical bar(alpha) = 0, where V(x) has a singularity. Under some assumptions on the V(x) and p(t) 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

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