Results 31 to 40 of about 369 (174)
Boundary Value Problems, 2023 In this present manuscript, by applying fractional quantum calculus, we study a nonlinear fractional pantograph q-difference equation with nonlocal boundary conditions.
Adel Lachouri +2 more
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Stability of hybrid pantograph stochastic functional differential equations [PDF]
Systems & Control Letters, 2022 In this paper, we study a new type of stochastic functional differential equations which is called hybrid pantograph stochastic functional differential equations. We investigate several moment properties and sample properties of the solutions to the equations by using the method of multiple Lyapunov functions, such as the moment exponential stability ...
Hao Wu, Junhao Hu, Chenggui Yuan
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Stability results for impulsive pantograph equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaizhong Guan, Zhiwei Luo
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Dynamic Characteristics Analysis of Double Pantograph Catenary of AC Rigid Catenary System
IEEE Access, 2023 The Euler-Bernoulli beam theory is used to establish the vibration differential equation of the rigid catenary, the cantilever support device is equivalent to the spring, and the pantograph is equivalent to the three mass block model.
Ying Wang +4 more
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A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions
Journal of Mathematics, 2022 In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations.
Hamid Lmou, Khalid Hilal, Ahmed Kajouni
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A new numerical method to solve pantograph delay differential equations with convergence analysis
Advances in Difference Equations, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
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Applied Sciences, 2021 In this paper, the authors present a mathematical and engineering model to optimally calculate the dynamic equation on the pantograph–catenary interaction when considering a rigid catenary with an overlapping span.
Jesús Benet +4 more
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On Bounded Solutions of the Balanced Generalized Pantograph Equation [PDF]
, 2008 The question about the existence and characterization of bounded solutions to linear functional-differential equations with both advanced and delayed arguments was posed in early 1970s by T. Kato in connection with the analysis of the pantograph equation, y'(x)=ay(qx)+by(x).
Bogachev, Leonid +3 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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A Study of Generalized Hybrid Discrete Pantograph Equation via Hilfer Fractional Operator
Fractal and Fractional, 2022 Pantograph, a device in which an electric current is collected from overhead contact wires, is introduced to increase the speed of trains or trams. The work aims to study the stability properties of the nonlinear fractional order generalized pantograph ...
Wafa Shammakh +3 more
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