一类具有Ambrosetti-Rabinowitz型超二次位势的四阶常微分方程周期解的存在性

Existence of Periodic Solutions of a Class of Ambrosetti-Rabinowitz Fourth Order Differential Equations with Superquadratic Potentials

本文利用Silva型的环绕定理,研究了一类具有Ambrosetti-Rabinowitz型超二次位势的常微分方程u(4)-Au″-Bu-f(t,u)=0.周期解的存在性,这里A>0,B>0.

In this paper we study the existence of periodic solutions of a class of superquadratic fourth-order ordinary differential equations u(4)-Au″-Bu-f(t,u)= 0.where A > 0,B > 0 by means of Silva's Linking Theorem