一类Liénard型微分系统的周期解的存在性与唯一性

Existence and Uniqueness of Periodic Solutions for a class of Delay Liénard Systems

考虑具有周期扰动的Liénard型微分系统(t)+(d/dt)gradF(x)+gradG(x(t-τ))=p(t),利用重合度理论讨论周期解的存在性与唯一性,得到了几个简便的判别条件。

Consider the periodically perturbed systems of Liénard type x (t ) dgradF (x ) gradG( x (t )) p( t ) + dt + ? τ= , By using conincidence degree theory, existence and uniqueness of periodic solutions are studied and some new effetive results are obtained.