Results 151 to 160 of about 370 (174)

Long time numerical behaviors of fractional pantograph equations

Mathematics and Computers in Simulation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongfang Li, Chengjian Zhang
openaire   +2 more sources

Exponential stability of random impulsive pantograph equations

Mathematical Methods in the Applied Sciences, 2021
In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the method of Lyapunov and Razumukhin technique.
A. Vinodkumar, T. Senthilkumar, Zhongmin Liu, Xiaodi Li   +3 more
openaire   +2 more sources

Exact and discretized stability of the pantograph equation

Applied Numerical Mathematics, 1997
The range of phenomena is presented which the pantograph equation, whether exact or discretized, displays inside and on its stability boundary. In the case of the exact equation, the course of solutions and the domains of asymptotic stability are considered for different values of the equation parameters. Almost-periodic solutions for several values of
openaire   +2 more sources

An Accurate Integral Solution for Solving the Pantograph Equation

International Journal of Applied and Computational Mathematics, 2017
In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing our results with other methods in the literature.
Muhammed I. Syam, H. M. Jaradat
openaire   +1 more source

Asymptotic constancy for a system of impulsive pantograph equations

Acta Mathematica Hungarica, 2014
In this paper, the authors study an initial value problem for a system of nonhomogeneous linear impulsive pantograph equations. Sufficient conditions are obtained for the solution of the problem to have asymptotic constancy. For a special case of the equation, the limit of the solution as \(t\to\infty\) is formulated in terms of the initial function ...
Bereketoğlu, H., Karakoç, F.
openaire   +2 more sources

Existence of solutions of nonlinear fractional pantograph equations

Acta Mathematica Scientia, 2013
Abstract This article deals with the existence of solutions of nonlinear fractional pantograph equations. Such model can be considered suitable to be applied when the corresponding process occurs through strongly anomalous media. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the main
K. BALACHANDRAN, S. KIRUTHIKA, J.J. TRUJILLO   +2 more
openaire   +1 more source

Stability of Runge-Kutta methods for the generalized pantograph equation

Numerische Mathematik, 1999
Stability properties of Runge-Kutta (RK) methods applied to nonautonomous neutral dealy-differential equations with a constant delay of the form \[ u'(t)- Ku'(t-\tau)= e^t Lu(t)+ e^tMu(t-\tau),\quad t>0,\tag{\(*\)} \] are studied. Equation \((*)\) is obtained from the autonomous generalized pantograph equation \[ v'(t)- Kv'(\alpha t)= Lv(t)+ Mv(\alpha ...
openaire   +1 more source

Direct operatorial tau method for pantograph-type equations

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Contractive initializing methods for the pantograph equation of neutral type

2000
Contractive initializing methods for the pantograph equation of neutral ...
BELLEN A, MASET, STEFANO, TORELLI, LUCIO
openaire   +2 more sources

On the Pantograph functional equation

Electronic Journal of Mathematical Analysis and Applications
Malak Ba-Ali, Ahmed M. A. El-Sayed, Eman Hamdallah   +2 more
openaire   +1 more source