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On piecewise constant delay differential equations


Numerical Solution of Piecewise Constant Delay Systems ... - Gale

An efficient numerical scheme for solving delay differential equations with a piecewise constant delay function is developed in this paper.

Oscillation and Periodicity of a Second Order Impulsive Delay ... - HAL

The asymptotic convergence of first order delay and advanced impulsive differential equations with piecewise constant arguments were also ...

advanced differential equations with piecewise constant argument ...

A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to ...

Oscillation and Periodicity of a Second Order Impulsive Delay ...

1 Introduction. The differential equations with piecewise constant arguments has been studied widely in the literature. To understand the fundamental ...

Existence stability and oscillation of the solutions of first order ...

Abstract · Neutral delay differential equations with piecewise constant argument · difference equations · existence and uniqueness of solutions · asymtotic ...

New Results on a Partial Differential Equation with ... - DergiPark

Aftabizadeh, A.R.,Wiener, J., Ming Xu, J., Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. Amer. Math ...

Delay-differential equations

ODE integrators generally assume that at least the first few derivatives are continuous. They can therefore go badly wrong at the knots. On the ...

STABLE RAPIDLY OSCILLATING SOLUTIONS IN DELAY ...

The stability of the fixed point follows. An obvious drawback of the piecewise constant nonlinearity F is that the solutions of the delay differential equation ...

Quasilinear retarded differential equations with functional ...

[11]. M. U. Akhmet, D. Aruğaslan and E. Yilmaz, Method of Lyapunov functions for differential equations with piecewise constant delay, J. Comput. Appl. Math., ...

Center manifolds for delay-differential equations with variable ...

A. Aftabizadeh, J. Wiener, J.-M. Xu, Oscillatory and periodic solutions of delay differential equations with piecewise constant argument. Proc. Am. Math.

Numerical Solution of Piecewise Constant Delay Systems Based

An efficient numerical scheme for solving delay differential equations with a piecewise constant delay function is developed in this paper. The proposed ...

Differential equations with state-dependent piecewise constant ...

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant ...

Existence and uniqueness of periodic solutions for a delay ...

We establish existence and uniqueness criteria for the periodic solutions of a first order differential equation with piecewise constant ...

Delay differential equation - Wikipedia

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is ...

CAM Colloquium - Richard Rand: Differential-Delay Equations

Friday, February 19, 2016 This lecture will provide an introduction to differential-delay equations and a description of recent research ...

Solving a delayed differential equation in Matlab to reproduce a ...

can be solved by simple integrations, esp. if the Activator function is piecewise constant. Share.

Solving Delay Differential Equations - YouTube

This webinar demonstrates working with delay differential equations in Maple, and obtaining and visualizing numerical solutions.

Delay Differential Equations in Action - YouTube

... delay differential equations (DDEs) starting from familiar examples such as the control of the shower temperature and car following models ...

Solving Delayed Differential Equations using ode45 Matlab

If you only provide U at the integration steps, you are essentially performing a piecewise-constant interpolation, which is the worst ...

Constant Coefficient Equations with Piecewise Continuous Forcing ...

It can be shown that the differential equation in (eq:8.5.1) has no solutions on an open interval that contains a jump discontinuity of · We define the function ...