时滞Liénard方程的周期解

Periodic Solutions of Liénard Equations with Delay

利用重合度理论中的延拓定理讨论一类时滞 Liénard方程 x+ f ( x) x+ g( ∫0- rx( t+s) dm( s) ) =p( t)的周期解问题 .获得了存在周期解的单侧限制的条件 .

By using continuation theorem in coincidence degree theory, the existence of periodic solutions for a class of Liénard Equations with delay \$+f(x)+g(∫\+0\-\{-r\}x(t+s) d m(s))=p(t)\$ is discussed. Some one sided restrictive conditions are derived.