Results 141 to 150 of about 353 (183)

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
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Ulam–Hyers stability of pantograph fractional stochastic differential equations

Mathematical Methods in the Applied Sciences, 2022
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam–Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.
Lassaad Mchiri, Abdellatif Ben Makhlouf, Hafedh Rguigui   +2 more
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Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations

Mathematical Methods in the Applied Sciences, 2021
In this paper, the Vieta–Fibonacci wavelets as a new family of orthonormal wavelets are generated. An operational matrix concerning fractional integration of these wavelets is extracted. A numerical scheme is established based on these wavelets and their fractional integral matrix together with the collocation technique to solve fractional pantograph ...
Hadis Azin, Mohammad Hossein Heydari, Fakhrodin Mohammadi   +2 more
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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 ...
Jia, Zhifu, Liu, Xinsheng, Zhang, Yu
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Pantograph stochastic differential equations driven by G-Brownian motion

Journal of Mathematical Analysis and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Lanying, Ren, Yong, He, Qian
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Long time numerical behaviors of fractional pantograph equations

Mathematics and Computers in Simulation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dongfang, Zhang, Chengjian
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Numerical investigation of the pantograph equation

Applied Numerical Mathematics, 1997
The author studies the stability behaviour of a very simple numerical method when applied to the pantograph equation \[ y'(t)= ay(t)+ by(qt), \qquad|a ...
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Asymptotic stability properties of θ-methods for the pantograph equation

Applied Numerical Mathematics, 1997
The authors consider the asymptotic stability properties of \(\theta\)-methods when applied to the pantograph equation \[ y'(t)= ay(t)+ by(qt)+ cy'(qt), \qquad q\in(0,1).\tag{1} \] It is shown that asymptotic stability is obtained when \(\theta>1/2\) for a certain constrained variable stepsize implementation which is characterized by the property that ...
BELLEN A., GUGLIELMI, NICOLA, TORELLI L.
openaire   +4 more sources