Periodic solutions to neutral differential equation with deviating arguments

摘要

By employing the continuation theorem of coincidence degree theory and some analysis techniques, we study a kind of neutral differential equation with deviating arguments as follows(x(t)+cx(t−r))″+f(x′(t))+g(x(t−τ(t)))=p(t).Some new results on the existence of periodic solutions are obtained. Our result generalizes main work of Wang [App. Math. Lett. 12 (1999) 41–44].