Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen

Abstract:

      The paper studies the existence of periodic solutions to a type of the first order neutral functional differential equations with complex deviating argument $\dot{x}(t)=\theta\dot{x}(t-\tau)+\alpha (t)f(x(t))+\beta (t)g(x(x(t)))+p(t)$, obtains sufficient conditions for existence of the periodic solutions, and gives a few simple applications of the theory.