By employing the continuation theorem of coincidence degree theory developed by Mawhin, we obtain periodic solution for a class of neutral differential equation with variable parameter and multiple deviating arguments.

In this paper, the existence and uniqueness of the solution of random impulsive neutral functional differential equation is investigated under sufficient condition. The results are obtained by using the Contraction principle.

In this paper, an oscillation theorem is established for the oscillation of second-order quasilinear neutral differential equation 0 ( )[( ( ) ( ) ( )) ] ( ) ( ( )) 0 r t x t p t x t q t f x t t t                  

We study a class of linear non-autonomous neutral delay differential equations, and establish a criterion for the asymptotic behavior of their solutions, by using the corresponding characteristic equation.

Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation ( x(t)− px(t− τ ))′′ + q(t)x(σ(t)) = 0.

Most of the existing SICNN models are concerns with the delays in the state. However, it is not enough for it can not describe the phenomenon precisely. It is natural and useful to consider the model with a neutral delay, it means that the system describing the model depends on not only the past information of the state but also the information of the derivative of the state, i.e., the decay ra...

Due to the plentiful dynamical behaviors, integro-differential equations with delays have many applications in a variety of fields such as control theory, biology, ecology, medicine, etc [1, 2]. Especially, the effects of delays on the stability of integro-differential equations have been extensively studied in the previous literature (see [3]-[9] and references cited therein). Besides delays, ...

During the last two decades, there has been much research activity concerning the oscillation and nonoscillation of solutions of neutral type delay differential equations see 1–9 . Investigation of such equations or systems, besides of their theoretical interest, have some importance in modelling of the networks containing lossless transmission lines, in the study of vibrating masses attached t...