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On exponential stability of linear non-autonomous functional differential equations of neutral type [PDF]
, 2017 © 2016 Informa UK Limited, trading as Taylor & Francis Group. General linear non-autonomous functional differential equations of neutral type are considered.
Ha, Q, Ngoc, PHA
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Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments
Mathematics, 2020 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 ...
O. Moaaz, I. Dassios, O. Bazighifan
semanticscholar +1 more source
Journal of Function Spaces, 2020 In this paper, we investigate the stochastic averaging method for neutral stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H∈1/2,1.
Peiguang Wang, Yan Xu
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Oscillations in Higher-Order Neutral Differential Equations
Canadian Journal of Mathematics, 1993 AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G. +2 more
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On the Oscillation of Impulsive Neutral First-order Differential Equations with Variable Arguments
Journal of Scientific Research in Science, 2022 Throughout the article, we study the oscillation of a general class of first-order neutral differential equations in presence of variable delays under the effect of impulses.
S. Euat Tallah +2 more
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Some New Oscillation Results for Fourth-Order Neutral Differential Equations with Delay Argument
Symmetry, 2020 The aim of this paper is to study the oscillatory properties of 4th-order neutral differential equations. We obtain some oscillation criteria for the equation by the theory of comparison. The obtained results improve well-known oscillation results in the
O. Bazighifan +3 more
semanticscholar +1 more source
Impulsive partial neutral differential equations
Applied Mathematics Letters, 2006 The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Hernandez, E, Henriquez, HR
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SymmetryThis research focuses on studying the asymptotic and oscillatory behavior of a special class of even-order nonlinear neutral differential equations, including damping terms.
B. Batiha +4 more
semanticscholar +1 more source
Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations
, 2020 This work is concerned with the oscillatory behavior of solutions of fourth-order neutral differential equations. By using the Riccati transformation and integral averaging techniques we obtain some new Kamenev-type and Philos-type oscillation criteria ...
O. Bazighifan
semanticscholar +1 more source
Oscillation behavior for neutral delay differential equations of second-order
Mathematical Biosciences and Engineering, 2021 In this paper, new criteria for oscillation of neutral delay differential equations of second-order are presented. One objective of this study is to complement and extend some well-known related results in the literature.
Osama Moaaz +5 more
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