Results 41 to 50 of about 28,711 (161)

A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets

open access: yesComplexity, 2022
An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions ...
Mutaz Mohammad, Alexander Trounev
doaj   +1 more source

Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term [PDF]

open access: yesOpuscula Mathematica, 2019
The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities ...
John R. Graef   +2 more
doaj   +1 more source

Asymptotic Stability of a Class of Impulsive Delay Differential Equations

open access: yesJournal of Applied Mathematics, 2012
This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations.
G. L. Zhang, M. H. Song, M. Z. Liu
doaj   +1 more source

Existence Theorem for Impulsive Differential Equations with Measurable Right Side for Handling Delay Problems

open access: yesJournal of Mathematics, 2020
Due to noncontinuous solution, impulsive differential equations with delay may have a measurable right side and not a continuous one. In order to support handling impulsive differential equations with delay like in other chapters of differential ...
Z. Lipcsey   +3 more
doaj   +1 more source

Analysis of stability for stochastic delay integro-differential equations

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj   +1 more source

Some Theorems of Uncertain Multiple-Delay Differential Equations

open access: yesAxioms
Uncertain differential equations with a time delay, called uncertain-delay differential equations, have been successfully applied in feedback control systems.
Yin Gao, Han Tang
doaj   +1 more source

On the oscillation of delay differential equations with real coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
A set of necessary conditions and another set of sufficient conditions for the oscillation of all the solutions of x˙(t)+∑i=1npix(t−τi)=0,         where   pi∈ℝ,  τi∈ℝ+,    i=1,2,…,n                                   (*) are proved.
H. A. Agwo
doaj   +1 more source

Necessary and sufficient conditions for the oscillation of delay differential equation with a piecewise constant argument

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
The characteristic equation for an equation with continuous and piecewise constant argument in the form x˙(t)+px(t−τ)+qx([t−k])=0    where  p, q∈ℜ, τ∈ℜ+and  k∈ℵ is presented, which when q=0 reduces to f(λ)=λ+e−λτ=0 and when p=0 reduces to λ−1+qλ−k=0 ...
H. A. Agwo
doaj   +1 more source

$C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
The objective of this paper is to clarify the relationship between the $C^1$-smooth dependence of solutions to delay differential equations (DDEs) on initial histories (i.e., initial conditions) and delay parameters. For this purpose, we consider a class
Junya Nishiguchi
doaj   +1 more source

Operational matrix based on Genocchi polynomials for solution of delay differential equations

open access: yesAin Shams Engineering Journal, 2018
In this paper, we present a new simple and effective algorithm for solving generalized Pantograph equations, delay differential equations with neutral terms and delay differential system with constant and variable coefficients.The new method is based on ...
Abdulnasir Isah, Chang Phang
doaj   +1 more source

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