Results 11 to 20 of about 50,137 (307)

OSCILLATION OF PARABOLIC DELAY DIFFERENTIAL EQUATIONS [PDF]

open access: hybridDemonstratio Mathematica, 2002
I. Kubiaczyk, Samir H. Saker
openalex   +2 more sources

Exact and Numerical Analysis of the Pantograph Delay Differential Equation via the Homotopy Perturbation Method

open access: yesMathematics, 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
doaj   +1 more source

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

open access: yesAin Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

Oscillation criterion for first-order linear differential equations with several delay arguments

open access: yesArab Journal of Mathematical Sciences, 2019
By using iterated estimates involving all delay arguments, we establish an oscillation criterion for first-order linear differential equations with several delay arguments.
Hongwu Wu, Julio G. Dix
doaj   +1 more source

Equivalences between age structured models and state dependent distributed delay differential equations

open access: yesMathematical Biosciences and Engineering, 2019
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Tyler Cassidy   +2 more
doaj   +1 more source

Properties of the third order trinomial functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
The purpose of the paper is to study asymptotic properties of the third-order delay differential equation \begin{equation*} {\left(r_2(t)\left(r_1(t)\left(y'(t)\right)^\gamma\right)'\right)'}+p(t){\left(y'(t)\right)^\gamma}+q(t)f\left(y\left(\tau(t ...
Blanka Baculíková   +2 more
doaj   +1 more source

Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform

open access: yesMathematics, 2023
The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
doaj   +1 more source

Neural Delay Differential Equations

open access: yes, 2021
Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been successfully developed for conquering some limitations emergent in application of the original framework.
Zhu, Qunxi, Guo, Yao, Lin, Wei
openaire   +2 more sources

Application of Legendre spectral-collocation method to delay differential and stochastic delay differential equation

open access: yesAIP Advances, 2018
Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
This paper is devoted to inhomogeneous Halanay-type inequalities together with inhomogeneous linear delay differential inequalities and equations. Based on the the variation of constants formula and some results borrowed from a recent paper of the ...
István Győri, László Horváth
doaj   +1 more source

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