摘要
用KAM迭代方法研究了下列二阶微分方程:。当与的导数满足一定条件时,利用关于可逆映射的小扭转定理得到拟周期解的存在性与所有解的有界性。
By the iteration of KAM, the following second-order differential equation:is studied. Under some assumptions on the parities of and by a small twist theorem of reversible mapping, the existence of quasi-periodic solutions and boundedness of all the solutions are obtained.
出处
《理论数学》
2013年第6期394-398,共5页
Pure Mathematics
基金
国家自然基金青年基金资助,基金号11301263。
