Results 151 to 160 of about 369 (174)

Oscillation of a pantograph differential equation with impulsive perturbations

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaizhong Guan, Qisheng Wang
exaly   +3 more sources

Analytical Solution of Pantograph Equation with Incommensurate Delay

ChemistrySelect, 2017
Abstract:Pantograph equation is a delay differential equation (DDE) arising in electrodynamics. This paper studies the pantograph equation with two delays. The existence, uniqueness, stability and convergence results for DDEs are presented. The series solution of the proposed equation is obtained by using Daftardar-Gejji and Jafari method and given in ...
Jayvant Patade, Sachin Bhalekar
exaly   +2 more sources

ON EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PANTOGRAPH TYPE EQUATION

The ANZIAM Journal, 2020
AbstractWe show existence and uniqueness of solutions to an initial boundary value problem that entails a pantograph type functional partial differential equation with two advanced nonlocal terms. The problem models cell growth and division into two daughter cells of different sizes.
Muhammad Mohsin, Ali Ashher Zaidi
openaire   +2 more sources

New stability theorem for uncertain pantograph differential equations

Journal of Intelligent & Fuzzy Systems, 2021
Uncertain pantograph differential equation (UPDE for short) is a special unbounded uncertain delay differential equation. Stability in measure, stability almost surely and stability in p-th moment for uncertain pantograph differential equation have been investigated, which are not applicable for all situations, for the sake of completeness, this paper ...
Zhifu Jia, Xinsheng Liu, Yu Zhang 0103
openaire   +1 more source

Criterion for the Volterra Property of the Cauchy Problem for the Pantograph Equation

Journal of Mathematical Sciences, 2022
The authors consider the Cauchy problem for the pantograph equation, examinate its spectral properties, establish the boundaries of the parameter interval in which the problem remains a Volterra problem. The spectral theory of Hilbert-Schmidt operators is applied.
Shaldanbayev, A. Sh., Akylbayev, M. I., Shomanbayeva, M. T., Shaldanbayeva, A. A.   +3 more
openaire   +1 more source

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