Explicit conditions for oscillation of neutral differential systems

Conditions for Oscillation of a Neutral Differential Equation

Nonlinear oscillation of certain third-order neutral differential equation with distributed delay

The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...

Necessary and Sufficient Conditions for Oscillation of Neutral Delay Differential Equations

In this article, we concerned with oscillation of the neutral delay differential equation [x(t) − px(t − τ)]′ + qx(t − σ) = 0 with constant coefficients. By constructing several suitable auxiliary functions, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the aforementioned equation for the cases 0 < p < 1 and p > 1.

Oscillation of Solutions for Odd-order Neutral Functional Differential Equations

In this article, we establish oscillation criteria for all solutions to the neutral differential equations [x(t)± ax(t± h)± bx(t± g)] = p Z d

Explicit Stability Conditions for Neutral Type Vector Functional Differential Equations. a Survey

This paper is a survey of the recent results of the author on the stability of linear and nonlinear neutral type functional differential equations. Mainly, vector equations are considered. In particular, equations whose nonlinearities are causal mappings are investigated. These equations include neutral type, ordinary differential, differential-delay, integro-differential and other traditional ...