Results 1 to 10 of about 314 (144)
Quasirandom Graphs and the Pantograph Equation. [PDF]
Am Math Mon, 2021 To appear in Amer.
Shapira A, Tyomkyn M.
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Cell Division And The Pantograph Equation [PDF]
ESAIM: Proceedings and Surveys, 2018 Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density.
van Brunt B., Zaidi A. A., Lynch T.
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Lyapunov Stability of the Generalized Stochastic Pantograph Equation [PDF]
Journal of Mathematics, 2018 The purpose of the paper is to study stability properties of the generalized stochastic pantograph equation, the main feature of which is the presence of unbounded delay functions. This makes the stability analysis rather different from the classical one.
Ramazan Kadiev, Arcady Ponosov
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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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Stability of the Discretized Pantograph Differential Equation [PDF]
Mathematics of Computation, 1993 In this paper we study discretizations of the general pantograph equation \[ y ′ ( t ) = a y ( t ) + b y ( θ ( t ) ) + c y ′ ( ϕ ( t )
Buhmann, Martin, Iserles, Arieh
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Machine Learning for Modeling the Singular Multi-Pantograph Equations [PDF]
Entropy, 2020 In this study, a new approach to basis of intelligent systems and machine learning algorithms is introduced for solving singular multi-pantograph differential equations (SMDEs). For the first time, a type-2 fuzzy logic based approach is formulated to find an approximated solution.
Amirhosein Mosavi +5 more
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