Results 11 to 20 of about 2,976 (212)
Quasirandom Graphs and the Pantograph Equation [PDF]
The American Mathematical Monthly, 2021 To appear in Amer.
Shapira, Asaf, Tyomkyn, Mykhaylo
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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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Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation [PDF]
SIAM Journal on Numerical Analysis, 2005 The paper deals with stability properties of Runge-Kutta methods for the pantograph equation \[ y^\prime(t) = f(t,y(t),y(qt),y^\prime(qt)),\quad t > 0, \] \[ y(0) = y_0. \] The authors obtain sufficient and necessary conditions for the asymptotic stability of the numerical solution and an upper bound for the error growth is obtained.
Huang, Chengming, Vandewalle, Stefan
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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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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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Computer simulation of pantograph delay differential equations
Thermal Science, 2021 Ritz method is widely used in variational theory to search for an approximate solution. This paper suggests a Ritz-like method for integral equations with an emphasis of pantograph delay equations. The unknown parameters involved in the trial solution can be determined by balancing the fundamental terms.
Xian-Yong Liu, Yan-Ping Liu, Zeng-Wen Wu
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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 ...
Widatalla, Sabir +1 more
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Stability analysis of pantograph under frictional force
Nihon Kikai Gakkai ronbunshu, 2019 The frictional force acts to the travelling pantograph head in horizontal direction due to sliding of the pantograph head and contact wire. Therefore, vertical motion of the pantograph head is generated by link mechanism of the pantograph.
Shigeyuki KOBAYASHI +2 more
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