Results 1 to 10 of about 370 (174)

Quasirandom Graphs and the Pantograph Equation. [PDF]

Am Math Mon, 2021
To appear in Amer.
Shapira A, Tyomkyn M.
europepmc   +5 more sources

Cell Division And The Pantograph Equation [PDF]

ESAIM: Proceedings and Surveys, 2018
Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density.
van Brunt B., Zaidi A. A., Lynch T.
doaj   +2 more sources

Lyapunov Stability of the Generalized Stochastic Pantograph Equation [PDF]

Journal of Mathematics, 2018
The purpose of the paper is to study stability properties of the generalized stochastic pantograph equation, the main feature of which is the presence of unbounded delay functions. This makes the stability analysis rather different from the classical one.
Ramazan Kadiev, Arcady Ponosov
doaj   +4 more sources

An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations

Complexity, 2022
The pantograph equation arises in electrodynamics as a delay differential equation (DDE). In this article, we provide the ϑ-method for numerical solutions of pantograph equations. We investigate the stability conditions for the numerical schemes.
Fathalla A. Rihan, Ahmed F. Rihan
doaj   +2 more sources

Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation [PDF]

SIAM Journal on Numerical Analysis, 2005
The paper deals with stability properties of Runge-Kutta methods for the pantograph equation \[ y^\prime(t) = f(t,y(t),y(qt),y^\prime(qt)),\quad t > 0, \] \[ y(0) = y_0. \] The authors obtain sufficient and necessary conditions for the asymptotic stability of the numerical solution and an upper bound for the error growth is obtained.
Chengming Huang, Stefan Vandewalle
exaly   +4 more sources

Analytical and Numerical Investigation for the Inhomogeneous Pantograph Equation

Axioms
This paper investigates the inhomogeneous version of the pantograph equation. The current model includes the exponential function as the inhomogeneous part of the pantograph equation.
Faten Aldosari, Abdelhalim Ebaid
doaj   +2 more sources

Exact and Numerical Analysis of the Pantograph Delay Differential Equation via the Homotopy Perturbation Method

Mathematics, 2023
The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah, Nourah E. Kanaan, Abdelhalim Ebaid, Hind K. Al-Jeaid   +3 more
doaj   +3 more sources

Variational iteration method for solving a generalized pantograph equation

Computers and Mathematics With Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Dehghan, Abbas Saadatmandi
exaly   +2 more sources

On the asymptotic behavior of the pantograph equations

Electronic Journal of Qualitative Theory of Differential Equations, 1998
Our aim is studing the asymptotic behaviour of the solutions of the equation $\dot x(t) = -a(t)x(t)+a(t)x(pt)$ where ...
Géza Makay, J. Terjéki
doaj   +3 more sources

Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform

Mathematics, 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