Results 11 to 20 of about 369 (174)
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 +3 more
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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.
Abbas Saadatmandi, Mehdi Dehghan
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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
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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
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Fractal and Fractional, 2022 The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations.
Hamid Boulares +4 more
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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
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Axioms, 2023 This paper discusses the problem of the existence and uniqueness of solutions to the boundary value problem for the nonlinear fractional-order pantograph equation, using the fractional derivative of variable order of Hadamard type.
Kadda Maazouz +2 more
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Approximation Algorithm for a System of Pantograph Equations [PDF]
Journal of Applied Mathematics, 2012 We show how to adapt an efficient numerical algorithm to obtain an approximate solution of a system of pantograph equations. This algorithm is based on a combination of Laplace transform and Adomian decomposition method. Numerical examples reveal that the method is quite accurate and efficient, it approximates the solution to a very high degree of ...
Sabir Widatalla, Mohammed Abdulai Koroma
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On the asymptotics of the trapezoidal rule for the pantograph equation [PDF]
Mathematics of Computation, 2009 The paper deals with the trapezoidal rule discretization of a class of linear delay differential equations, with a special emphasis on equations with a proportional delay. Our purpose is to analyse the asymptotic properties of the numerical solutions and formulate their upper bounds.
Jan Cermák, Jirí Jánský
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Advances in Difference Equations, 2020 This study investigates the solutions of an impulsive fractional differential equation incorporated with a pantograph. This work extends and improves some results of the impulsive fractional differential equation.
Idris Ahmed +4 more
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