Results 21 to 30 of about 353 (183)
Aeroacoustic Optimization Design of the Middle and Upper Part of Pantograph
Applied Sciences, 2022 The pantograph is the main noise source of high-speed trains, of which the middle and upper parts of the pantograph account for about 50% of the whole noise energy.
Jing Guo +5 more
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Solving a Quadratic Riccati Differential Equation, Multi-Pantograph Delay Differential Equations, and Optimal Control Systems with Pantograph Delays [PDF]
Axioms, 2020 An effective algorithm for solving quadratic Riccati differential equation (QRDE), multipantograph delay differential equations (MPDDEs), and optimal control systems (OCSs) with pantograph delays is presented in this paper. This technique is based on Genocchi polynomials (GPs). The properties of Genocchi polynomials are stated, and operational matrices
Fateme Ghomanjani, Stanford Shateyi
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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 ...
Wu, Hao, Hu, Junhao, Yuan, Chenggui
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The Pantograph Equation in the Complex Plane
Journal of Mathematical Analysis and Applications, 1997 The subject matter is focused on two functional differential equations. First of them is the pantograph equation with involution on the complex plane: \[ y'(z)=\sum_{k=0}^{m-1} \left[ a_k y(\omega^k z) + b_k y(r \omega^k z) + c_k y'(r \omega^k z) \right] , \] where \(a_k, b_k, c_k \in \mathbb{C}, k= 0, 1, \dots , m-1,\) are given, \(r \in (0,1)\), and \
Derfel, G., Iserles, A.
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Large deviations for stochastic pantograph integrodifferential equation
Filomat, 2023 The pantograph equation, a specific type of delay differential equation is examined in this study in its stochastic form. Our main intention is to establish the Wentzell-Freidlin type large deviation estimates for stochastic pantograph integrodifferential equation.
Siva Ranjani +2 more
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Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations [PDF]
Advances in Mathematical Physics, 2013 We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially
Yin Yang, Yunqing Huang
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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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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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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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