Results 11 to 20 of about 74,529 (281)

Oscillation of Even-Order Neutral Delay Differential Equations [PDF]

Advances in Difference Equations, 2010
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and .
Zhao Ping, Li Tongxing, Han Zhenlai, Sun Shurong   +3 more
doaj   +4 more sources

First Order Nonlinear Neutral Delay Differential Equations

مجلة بغداد للعلوم, 2004
The author obtain results on the asymptotic behavior of the nonoscillatory solutions of first order nonlinear neutral differential equations. Keywords. Neutral differential equations, Oscillatory and Nonoscillatory solutions.
Baghdad Science Journal
doaj   +4 more sources

Oscillation of Third-Order Neutral Delay Differential Equations [PDF]

Abstract and Applied Analysis, 2012
The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented.
Tongxing Li, Chenghui Zhang, Guojing Xing   +2 more
doaj   +3 more sources

Oscillation of Nonlinear Neutral Delay Differential Equations [PDF]

Journal of Applied Mathematics and Computing, 2008
2000 Mathematics Subject Classification: 34K15, 34C10.In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C ...
Elabbasy, E. M., Hassan, T. S.
core   +4 more sources

Spline approximations for neutral delay differential equations

Journal of Numerical Analysis and Approximation Theory, 1994
Not available.
A. Bellen, Gheorghe Micula
doaj   +4 more sources

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
openaire   +1 more source

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
doaj   +1 more source

Neutral delay differential equation Kerr cavity model

, 2023
9 pages, 9 ...
Vladimirov, Andrei G., Dolinina, Daria A.   +1 more
openaire   +4 more sources

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

Random neutral semilinear differential equations with delay

Differential Equations & Applications, 2022
Summary: In this paper, we present the existence and uniqueness of a random mild solution of a system of neutral semilinear random differential equations with delay. Also the Lipschitz regularity of the solution is presented. The results are based on random versions of Perov's fixed point theorem. Finally, some examples are given to illustrate our main
Bellaoui, O. K., Baliki, A., Ouahab, A.
openaire   +2 more sources