On piecewise constant delay differential equations

#9467 - Oscillation and Periodicity of a Second Order Impulsive ...

This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument.

Finite Dimensional Approximation of the Monodromy Operator of a ...

Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is ...

New Results on Oscillation for Delay Differential Equations ... - CORE

As mentioned in [l-3], delay differential equations with piecewise constant arguments rep- resent a hybrid of continuous and .discrete dynamical systems and ...

Numerical Oscillations of Runge-Kutta Methods for Differential ...

[9]J.H. Shen, I.P. Stavroulakis, “Oscillatory and nonoscillatory delay equations with piecewise constant argument,” J. Math. Anal. Appl., vol. 248, ...

a comparison result for a linear differential equation with piecewise ...

not applicable to this type of delay since the greatest integer function is not continuous. Page 3. LINEAR DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY.

8 Oscillations Of Equations With Piecewise Constant Arguments

It is interesting to note that equations with piecewise constant arguments provide the simplest examples of differential equations capable of ...

Impulsive Stabilization of certain Delay Differential Equations with ...

Keywords: Delay differential equation, piecewise constant argument, Lyapunov func- tion, stabilization. 1 Introduction and Preliminaries. In recent years, ...

On Almost Automorphic Solutions of Third-Order Neutral Delay ...

almost automorphic solutions, neutral delay equation, piecewise constant argument. AMS Subject Headings. 34K14. Copyright. COPYRIGHT: © Global Science Press.

(PDF) Analysis of Linear Piecewise Constant Delay Systems Using ...

An efficient computational technique for solving linear delay differential equations with a piecewise constant delay function is presented.

Existence conditions for 2-periodic solutions to a non-homogeneous ...

This paper provides a method of finding 2-periodical solutions for the first-order non-homogeneous differential equations with piecewise constant arguments.

(R1888) On the Mackey-Glass Model with a Piecewise Constant ...

Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proceedings of the American Math- ematical Society, pp. 673 ...

Minimal and maximal solutions to first-order differential equations ...

Wiener, “Differential inequalities for delay differential equations with piecewise constant argument”, Applied mathematics computations, vol. 24, no. 3, pp ...

'Differential Equations with Piecewise Constant Arguments' – Grafiati

Györi, Istevan. "On approximation of the solutions of delay differential equations by using piecewise constant arguments." International Journal ...

Piecewise reproducing kernel method for linear impulsive delay ...

In this paper, we introduce a piecewise reproducing kernel method for impulsive delay differential equations with piecewise constant arguments.

Asymptotic constancy for impulsive differential equations with ... - jstor

delay. E.J. Qualitative Theory of Diff. Equ., no. 2, 1-8, (2000). [14] K.L. Cooke and J. Wiener, Retarded differential equations with piecewise constant delays.

Impulsive stabilization of certain delay differential equations ... - Gale

In this paper, we investigate the impulsive stabilization of certain delay differential equations with piecewise constant argument by using Lyapunov function ...

Theoretical analysis for blow-up behaviors of differential equations ...

... delay differential equations with a constant delay is investigated, which is ... Wiener, Retarded differential equations with piecewise constant delays, J.

Stability of numerical solution for partial differential equations ... - OUCI

List of references · Wiener, J., Lakshmikantham, V.: A damped oscillator with piecewise constant time delay. Nonlinear Stud. 1, 78–84 (2000) · Wiener, J.: ...

On Solutions of A Parabolic Partial Differential Equation of Neutral ...

Since there exist the piecewise constant arguments, we get an ordinary differential equation with respect to the time variable on each ...

On numerical approximation using differential equations with ...

We also formulate an open problem for stability and oscillation of a class of linear delay equations with continuous and piecewise constant arguments. 1.