Results 11 to 20 of about 7,866 (255)

Oscillatory Solutions to Neutral Delay Differential Equations

Mathematics, 2021
This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari, Omar Bazighifan, Taher A. Nofal, Khaled Mohamed Khedher, Youssef N. Raffoul   +4 more
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Oscillation of nonlinear neutral delay differential Equations [PDF]

Journal of Applied Mathematics and Computing, 2006
Sufficient conditions for the oscillation of the first-order nonlinear neutral delay differential equation \[ [x(t)-q(t)x(t-\sigma)]'+f(t,x(\tau(t)))=0 \] are given. The results obtained improve and extend some known results. One example is given to illustrate the results.
Elabbasy, Elmetwally M., Hassan, Taher S., Saker, Samir H.   +2 more
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Results on the Behavior of the Solutions for Linear Impulsive Neutral Delay Differential Equations with Constant Coefficients

Communications in Advanced Mathematical Sciences, 2021
We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
doaj   +1 more source

Regularization of Neutral Delay Differential Equations with Several Delays

Journal of Dynamics and Differential Equations, 2013
This paper is concerned with the system of neutral delay differential equations \[ \dot{y}(t)=f(y(t), \dot{y}(\alpha_1(y(t))), \cdots, \dot{y}(\alpha_m(y(t))) \text{ for } t>0, \] \[ y(t)=\varphi(t) \text{ for } t\leq 0, \] with smooth functions \(f(y, z_1, z_2, \cdots, z_m)\), \(\varphi(t)\) and \(\alpha_j(t)\).
GUGLIELMI, NICOLA, HAIRER E.
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses

Complexity, 2020
In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets

Complexity, 2022
An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions ...
Mutaz Mohammad, Alexander Trounev
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Averaging Method for Neutral Stochastic Delay Differential Equations Driven by Fractional Brownian Motion

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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Neutral Delay Differential Equations: Oscillation Conditions for the Solutions [PDF]

Symmetry, 2021
The purpose of this article is to explore the asymptotic properties for a class of fourth-order neutral differential equations. Based on a comparison with the differential inequality of the first-order, we have provided new oscillation conditions for the solutions of fourth-order neutral differential equations.
Omar Bazighifan, Hammad Alotaibi, Abd Allah A. Mousa   +2 more
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Oscillation of neutral delay differential equations [PDF]

Bulletin of the Australian Mathematical Society, 1992
Consider the following neutral delay differential equationwhereP∈ ℝ,T∈ (0, ∞), σ ∈ (0, ∞) andQ∈C[(t0, ∞), [0, ∞)]. We obtain a sufficient condition for the oscillation of all solutions of Equation (*) withP= −1, which does not require thatBut, for the cases −1 <P< 0 andP< −1, we show that (**) is a necessary condition for the oscillation of ...
Jianshe Yu, Zhicheng Wang, Chuanxi Qian
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Oscillation of Impulsive Neutral Delay Differential Equations

Journal of Mathematical Analysis and Applications, 2002
Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R., Shen, J. H., Stavroulakis, I. P.   +2 more
openaire   +3 more sources