共振下N维Liénard型方程的周期解

Periodic Solutions of N-Dimensional Lienard Type Equations at Resonance

本文应用Leray-Schauder原理在跨共振点条件下证明n维Lienard型方程存在周期解。推广了Conti·G,Reissig·R,黄先开等人的相应结果。

Using classical Leray-Schauder techniques, we otain the existence of T-periiodic solu-tions for n-dimensional Lienard type equations. The results, in a sense, make a break-through at restriction of avoiding resonance.