Grid connected improved sepic converter with intelligent mppt strategy for energy storage system in railway applications. [PDF]
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Integrating freelance models with fractional derivatives, and artificial neural networks: A comprehensive approach to advanced computation. [PDF]
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Numerical investigation of the pantograph equation
Applied Numerical Mathematics, 1997The 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, 1997The 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.
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Analytical Solution of Pantograph Equation with Incommensurate Delay
Physical Sciences Reviews, 2017Abstract: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
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Exponential stability of random impulsive pantograph equations
Mathematical Methods in the Applied Sciences, 2021In 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 +3 more
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