Results 81 to 90 of about 369 (174)
Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy
International Journal of Mathematics and Mathematical Sciences, 1991 A discussion is given of some of the properties of the functional Volterra Integral equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy. and of the corresponding multidimensional equation.
Li. G. Chambers
doaj +1 more source
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in ...
John Appleby, Evelyn Buckwar
doaj +1 more source
IET Electrical Systems in Transportation, Volume 2025, Issue 1, 2025.Decarbonizing rail transport in response to global warming is fundamental to achieving a net zero transportation system. Along with increased passenger mobility and network electrification initiatives, significant connectivity between the train and infrastructure is needed to underpin operational communications and safety, information exchange, and ...
Yljon Seferi +3 more
wiley +1 more source
IET Electrical Systems in Transportation, Volume 2025, Issue 1, 2025.In addressing the issue of electromagnetic interference in railway environments, research into the coupling pathways, amplitude distribution patterns, and attenuation characteristics of such interference is crucial for identifying practical solutions. Rails, a common channel for signaling and traction power supply systems, play a pivotal role in anti ...
Shaotong Chu +2 more
wiley +1 more source
RESEARCH ON VIBRATION CONTROL METHOD OF TRAIN PANTOGRAPH
Jixie qiangdu, 2019 In this paper, the vibration control method of train pantograph is studied. A dynamic equation based on Newton’s second law is established for the two element pantograph model.
GUO YanHong
doaj
Chengshi guidao jiaotong yanjiu［Objective］ With the increase of train operating speed, noise levels have gradually become a critical factor restricting the development of high-speed railways.
YU Yongge +5 more
doaj +1 more source
On the asymptotic behaviour of a pantograph–type difference equation
Journal of Difference Equations and Applications, 2000 In this paper we study the asymptotic behaviour of solutions of the pantograph-type differnce equation, and obtain aymptotic estimates, which can imply asymptotic stability or stability of ...
Fathalla A. Rihan, Ahmed F. Rihan
openaire +2 more sources
Mathematical and Computer Modelling of Dynamical SystemsThis study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales.
Kottakkaran Sooppy Nisar +3 more
doaj +1 more source
Journal of Applied Mathematics, 2015 The pantograph equation is a special type of functional differential equations with proportional delay. The present study introduces a compound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay ...
M. Mustafa Bahşi, Mehmet Çevik
doaj +1 more source
Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications
Abstract and Applied Analysis, 2013 This paper introduces Fourier operational matrices of differentiation and transmission for solving high-order linear differential and difference equations with constant coefficients.
F. Toutounian, Emran Tohidi, A. Kilicman
doaj +1 more source