一类二阶中立型Rayleigh方程周期解的存在性

Existence of Periodic Solutions to a Type of Second Order Rayleigh Neutral Equation

利用Mawhin重合度拓展定理,研究了一类二阶中立型Rayleigh方程[x(t)+ni=1"cix(t-τi)]''=f(x'(t))+g(x(t-γ(t))+p(t)周期解的存在性,给出了该方程存在周期解的充分性定理。

The existence of periodic solutions to a type of second order Rayleigh neutral equation [x（t）＋^n∑i=1 c,x（t-Ti）]″=f（x′（t））＋g（x（t-γ（t））＋p（t）with multiple deviating arguments is studied by means of the meatheds presented in coincidence degree theory,and sufficient conditions of the equation with periodic solutions are obtained.