具有次线性的非线性项的二阶系统的周期解

Periodic Solutions for Second Order Systems with Sublinear Nonlinearity

本文主要目的是研究以下二阶系统{ü(t)+q(t)u(t)=▽F(t,u(t)u(0)-u(T)=u(0)-eQ(T)u(T)=0a.e.t∈[0,T]的周期解的存在性。通过使用最小作用原理获得了两个新的存在性定理。

The purpose of this paper is to study the existence of periodic solutions of the following second order systems {ü(t)+q(t)(t)=▽F(t,u(t))u(0)-u(T)=(0)-eQ(T)(T)=0 a.e.t∈Some new existence theorems are obtained by the least action principle.