二阶非自治系统周期解的存在性与多重性

Existence and Multiplicity of Periodic Solutions for Nonautonomous Second Order Systems

利用最小化原则及Brezis和Nirenberg的三临界点理论,在这篇文章中,得到了一类部分位势大于一个次凸函数与另一可测函数的乘积,部分位势具有有界非线性项的二阶非自治系统周期解的存在性与多重性定理.

By using the least action principle as well as Brezis and Nirenberg＇s three critical point theory, this paper obtains some existence and multiplicity theorems for periodic solutions of nonautonomous second order systems with a potential, partial of which are greater than the product of a convex function and another Lebesgue measurable function, partial have a bounded nonlinearity.