摘要
利用min-max原理的非变分形式,证明了共振下2k阶微分方程系统边值问题u(2k)(t)+∑kj=1Aju(2j-1)(t)+(-1)k-1 G(u,t)=e(t)周期解的存在惟一性问题.
A non-variational version of a max-min principle is extended, and some unique existence results for the periodic boundary value problem of the higher order nonconservative systems with resonance u^(2k)(t)+Σj=1^k Aju^(2j-t)(t)+(-1)^k-1↓ΔG(u,t)=e(t)are obtained.
出处
《应用泛函分析学报》
CSCD
2005年第3期250-256,共7页
Acta Analysis Functionalis Applicata