Results 21 to 30 of about 370 (174)
On Pantograph Integro-Differential Equations
Journal of Integral Equations and Applications, 1994 The authors study the initial value problem for pantograph integro- differential equations of the form \[ y'(t) = a y(t) + \int^ 1_ 0 y(qt) d \mu (q) + \int^ 1_ 0 y'(qt) d \nu (q),\;t > 0, \quad y(0) = y_ 0, \tag{1} \] where \(a\) is a complex constant, \(\mu (q)\) and \(\nu (q)\) are complex-valued functions of bounded variation on \([0,1]\). Denote \(
Iserles, Arieh, Liu, Yunkang
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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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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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IEEE Access, 2021 The aim of this study is to design a layer structure of feed-forward artificial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differential equation
Kashif Nisar +7 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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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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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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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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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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