Results 141 to 150 of about 370 (174)

Research Progress in Fiber Bragg Grating-Based Ocean Temperature and Depth Sensors. [PDF]

Sensors (Basel)
Zhao X, Wei C, Zeng L, Sun L, Li Z, Chen H, Liu G, Qiao Z, Qu Y, Xu D, Li L, Li L.   +11 more
europepmc   +1 more source

A Lipid-Structured Model of Atherosclerosis with Macrophage Proliferation. [PDF]

Bull Math Biol
Chambers KL, Watson MG, Myerscough MR.
europepmc   +1 more source

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Numerical investigation of the pantograph equation

Applied Numerical Mathematics, 1997
The author studies the stability behaviour of a very simple numerical method when applied to the pantograph equation \[ y'(t)= ay(t)+ by(qt), \qquad|a ...
Yunkang Liu
exaly   +2 more sources

Asymptotic stability properties of θ-methods for the pantograph equation

Applied Numerical Mathematics, 1997
The authors consider the asymptotic stability properties of \(\theta\)-methods when applied to the pantograph equation \[ y'(t)= ay(t)+ by(qt)+ cy'(qt), \qquad q\in(0,1).\tag{1} \] It is shown that asymptotic stability is obtained when \(\theta>1/2\) for a certain constrained variable stepsize implementation which is characterized by the property that ...
Nicola Guglielmi, A Bellen
exaly   +5 more sources

Oscillation of a pantograph differential equation with impulsive perturbations

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaizhong Guan, Qisheng Wang, Xiaobao He
exaly   +3 more sources

Analytical Solution of Pantograph Equation with Incommensurate Delay

ChemistrySelect, 2017
Abstract:Pantograph equation is a delay differential equation (DDE) arising in electrodynamics. This paper studies the pantograph equation with two delays. The existence, uniqueness, stability and convergence results for DDEs are presented. The series solution of the proposed equation is obtained by using Daftardar-Gejji and Jafari method and given in ...
Jayvant Patade, Sachin Bhalekar
exaly   +2 more sources

ON EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PANTOGRAPH TYPE EQUATION

The ANZIAM Journal, 2020
AbstractWe show existence and uniqueness of solutions to an initial boundary value problem that entails a pantograph type functional partial differential equation with two advanced nonlocal terms. The problem models cell growth and division into two daughter cells of different sizes.
Muhammad Mohsin, Ali Ashher Zaidi
openaire   +2 more sources

Criterion for the Volterra Property of the Cauchy Problem for the Pantograph Equation

Journal of Mathematical Sciences, 2022
The authors consider the Cauchy problem for the pantograph equation, examinate its spectral properties, establish the boundaries of the parameter interval in which the problem remains a Volterra problem. The spectral theory of Hilbert-Schmidt operators is applied.
Shaldanbayev, A. Sh., Akylbayev, M. I., Shomanbayeva, M. T., Shaldanbayeva, A. A.   +3 more
openaire   +1 more source

New stability theorem for uncertain pantograph differential equations

Journal of Intelligent & Fuzzy Systems, 2021
Uncertain pantograph differential equation (UPDE for short) is a special unbounded uncertain delay differential equation. Stability in measure, stability almost surely and stability in p-th moment for uncertain pantograph differential equation have been investigated, which are not applicable for all situations, for the sake of completeness, this paper ...
Zhifu Jia, Xinsheng Liu, Yu Zhang 0103
openaire   +1 more source