College of Science, Zhongyuan University of Technology,Zhengzhou 450007, Henan, China
Abstract:
In this paper, we use the coincidence degree theory to research the odd order delay differential equation a(t)x(2n+1)(t) + b(t)x(t) + g(t,x(t?τ(t))) = p(t), and we obtain the sufficient conditions for the existence of periodic solutions, which improves and generalizes some related results in the literatures.