Results 71 to 80 of about 2,976 (212)
Analytical and Numerical Investigation for the Inhomogeneous Pantograph Equation
AxiomsThis paper investigates the inhomogeneous version of the pantograph equation. The current model includes the exponential function as the inhomogeneous part of the pantograph equation.
Faten Aldosari, Abdelhalim Ebaid
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Engineering Applications of Computational Fluid Mechanics, 2023 It is noteworthy to explore potential measures for further reducing the aerodynamic drag and noise of high-speed pantographs. This paper proposes a method of introducing spanwise waviness into the upper and lower arms.
Deng Qin, Tian Li, Jiye Zhang, Ning Zhou
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Stability of numerical method for semi-linear stochastic pantograph differential equations [PDF]
, 2016 As a particular expression of stochastic delay differential equations, stochastic pantograph differential equations have been widely used in nonlinear dynamics, quantum mechanics, and electrodynamics.
Longsuo Li, Yu Zhang
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Engineering Reports, Volume 7, Issue 8, August 2025.Railway electrification systems indeed have unique challenges due to variable power demand and dynamic train operations. Power quality (PQ) monitoring for high‐speed trains (HSTs) is essential to guarantee the effectual and unfailing operation of the ESs.
Pampa Sinha +6 more
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International Journal of Analysis and Applications, 2022 In electric trains, the current is collected via a certain device, called the Pantograph. The governing mathematical model of such physical problem is well-known as the Pantograph delay differential equation (PDDE): y’(t)=ay(t)+by(ct), where c is a ...
S. M. Khaled
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Analysis of a stochastic 2D–Navier-Stokes model with infinite delay [PDF]
, 2019 Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay are first proved by using the ...
Caraballo Garrido, Tomás, Liu, Linfang
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Advanced Materials Technologies, Volume 10, Issue 13, July 8, 2025.This study presents a braided fiber‐reinforced sleeve that amplifies strain in soft materials, enhancing their performance in stretchable devices like sensors and energy harvesters. By reinforcing and elongating encased materials, the sleeve increases the “effective” strain.
Emily Duan +4 more
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Fractional Pantograph Delay Equations Solving by the Meshless Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
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On bounded continuous solutions of the archetypal equation with rescaling [PDF]
, 2015 The `archetypal' equation with rescaling is given by $y(x)=\iint_{\mathbb{R}^2} y(a(x-b))\,\mu(\mathrm{d}a,\mathrm{d}b)$ ($x\in\mathbb{R}$), where $\mu$ is a probability measure; equivalently, $y(x)=\mathbb{E}\{y(\alpha(x-\beta))\}$, with random $\alpha,\
Bogachev, LV, Derfel, G, Molchanov, SA
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Advanced Physics Research, Volume 4, Issue 6, June 2025.High‐throughput calculations unveil the stability, magnetic behavior, and transport properties of M2AX phases with magnetic A elements, predicting 139 metastable compounds. Highlights include high‐Curie‐temperature magnets, exceptional magneto‐crystalline anisotropy, and tunable anomalous Hall and Nernst conductivities, offering new insights and ...
Chen Shen +6 more
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