Results 11 to 20 of about 46,797 (304)

Collocation schemes for periodic solutions of neutral delay differential equations [PDF]

open access: yes, 2005
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE   +8 more
core   +1 more source

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

open access: yesAin Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]

open access: yes, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +1 more source

Oscillation criterion for first-order linear differential equations with several delay arguments

open access: yesArab Journal of Mathematical Sciences, 2019
By using iterated estimates involving all delay arguments, we establish an oscillation criterion for first-order linear differential equations with several delay arguments.
Hongwu Wu, Julio G. Dix
doaj   +1 more source

Stability calculations for piecewise-smooth delay equations [PDF]

open access: yes, 2008
This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using ...
Barton, DAW
core   +1 more source

On nonlinear delay differential equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
We examine qualitative behaviour of delay differential equations of the form \[ y ′
openaire   +1 more source

On the global attractor of delay differential equations with unimodal feedback [PDF]

open access: yes, 2009
We give bounds for the global attractor of the delay differential equation x(over dot) (t) = -mu x(t) + f(x(t - tau)), where f is unimodal and has negative Schwarzian derivative.
Liz, Eduardo   +3 more
core   +1 more source

Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]

open access: yes, 2010
Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Li, Xiaoyue   +4 more
core   +1 more source

Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform

open access: yesMathematics, 2023
The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
doaj   +1 more source

Properties of the third order trinomial functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
The purpose of the paper is to study asymptotic properties of the third-order delay differential equation \begin{equation*} {\left(r_2(t)\left(r_1(t)\left(y'(t)\right)^\gamma\right)'\right)'}+p(t){\left(y'(t)\right)^\gamma}+q(t)f\left(y\left(\tau(t ...
Blanka Baculíková   +2 more
doaj   +1 more source

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