高维非线性周期系统的平稳振荡

对于高维非线性周期系统周期解的研究,所见文献不多.一般来说,用传统定性方法是较为困难的.本文用V函数方法研究某些高维非线性周期系统的周期解的存在唯一性和稳定性,得到了一些新的结果.

ON PEAEABLE DSCILATIONS OF HIGHER ORDER NONLINEAR PERIODIC SYSTEMS

There are not Ao many results in studing the periodic lotutions ofy higher order nonliear perioclie systems.generally speaking. It is difficul-speaking. It is difficult to ure the traditional gualitative method. Ih thi paper, we give little sufficient condtion that guarantees the existence and unigueness of periodic solutions for a n-thorder nonlinear periodics ystes ms. by using the method of v-function.