Abstract
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new Philos-type criterion. Our results extend and improve some known results in the literature. An example is given to illustrate our main results.
Highlights
We investigate the asymptotic behavior of solutions of even-order neutral differential equation of the form γ 0 k b ( t ) z ( n −1) ( t )
One area of active research in recent times is to study the sufficient criteria for oscillation of differential equations, see [1,2,3,4,5,6,7,8,9,10,11], and oscillation of neutral differential equations has become an important area of research, see [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30]
We show some previous results in the literature related to this paper: Moaaz et al [23] proved that if there exist positive functions η, ζ ∈ C1 ([t0, ∞), R) such that the differential equations ψ0 (t) +
Summary
We investigate the asymptotic behavior of solutions of even-order neutral differential equation of the form γ 0 k b ( t ) z ( n −1) ( t ). One area of active research in recent times is to study the sufficient criteria for oscillation of differential equations, see [1,2,3,4,5,6,7,8,9,10,11], and oscillation of neutral differential equations has become an important area of research, see [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] Having in mind such applications, for instance, in electrical engineering, we cite models that describe electrical power systems, see [18]. We show some previous results in the literature related to this paper: Moaaz et al [23] proved that if there exist positive functions η, ζ ∈ C1 ([t0 , ∞) , R) such that the differential equations ψ0 (t) +.
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