Results 31 to 40 of about 875,467 (271)

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

On the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations [PDF]

open access: yes, 2013
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Karafyllis, Iasson, Krstic, Miroslav
core   +1 more source

Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions

open access: yesMathematics, 2022
The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
B. Almarri   +3 more
semanticscholar   +1 more source

The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1

open access: yesBoundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, X. Shu, Yongjin Li, Fei Xu
semanticscholar   +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

Optimal linear stability condition for scalar differential equations with distributed delay [PDF]

open access: yes, 2014
Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biology and physics.
Bernard, Samuel, Crauste, Fabien
core   +6 more sources

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

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

Nonlinear delay differential equations and their application to modeling biological network motifs

open access: yesNature Communications, 2020
Biological regulatory systems, such as cell signaling networks, nervous systems and ecological webs, consist of complex dynamical interactions among many components.
David S. Glass   +2 more
semanticscholar   +1 more source

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