A mixed neutral system

Oscillations of higher order neutral differential equations

“…This is in contrast with the fact that the stability character is not determined by the characteristic roots. Some of these differences as well as some applications of neutral differential equations are discussed in [2,3,4,5,6,14,15,23,24]. Especially, higher order neutral differential equations were encountered in the study of vibrating masses attached to an elastic bar and also as the Euler equations in some variational problems (see Hale [15, p. 7]).…”

Oscillation of Second Order Neutral Differential Equations With Mixed Neutral Term

“…From the literature, it is known that several classes of neutral type differential equations are often encountered in applied problems in natural sciences and engineering, see for example [3] and [11]. Recently, a great deal interest in studying the oscillatory properties of neutral type functional differential equations, see for example [1,2,5,6,9,12,13,14,15,16,17,18,19,20,21] and the references cited therein.…”

Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses

“…Indeed, neutral differential equations appear in networks containing lossless transmission lines (as in high-speed computers where the lossless transmission lines are used to interconnect switching circuits) [8]. They also appear in problems dealing with vibrating masses attached to an elastic as well as the Euler equation in some vibrational problems [2,3,[5][6][7]. Very recently, the unending list of results on oscillation and nonoscillation of solutions of first order neutral delay impulsive differential equations has increased [8,9,[11][12][13].…”