Oscillation of differential equation of neutral type

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...

Conditions for Oscillation of a Neutral Differential Equation

Oscillation for a second-order neutral differential equation with impulses

We consider a certain type of second-order neutral delay differential systems and we establish two results concerning the oscillation of solutions after the system undergoes controlled abrupt perturbations (called impulses). As a matter of fact, some particular non-impulsive cases of the system are oscillatory already. Thus, we are interested in finding adequate impulse controls under which our...

Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation

In this paper, we will establish the sufficient conditions for the oscillation of solutions of neutral time fractional partial differential equation of the form ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )             ∑ ∑ ∑ n m t t i i j j j i j s k k k D p t D u x t c t u x t q x t u x t q x t f u x t a t u x t a t u x t F x t , , 1 1

Oscillation of Nonlinear Neutral Type Dynamic Equations

This paper is intended to study the oscillatory behaviour of solutions of the higher order nonlinear neutral type functional dynamic equation with oscillating coefficients of the following form: [y(t) + p(t)y (τ(t))] n + m ∑ i=1 qi(t)fi (y (φi(t))) = s(t) where n ≥ 2. We obtain sufficient conditions for oscillatory behaviour of its solutions. Our results complement the oscillation results for n...