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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

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

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

Weighted Moment Estimation for Uncertain Delay Differential Equations and Its Application in Birth Rate Modeling

open access: yesMathematics
Uncertain delay differential equations can simultaneously describe uncertain disturbances and time-delay effects during the evolution process of a system, and parameter estimation is a crucial step in the application of uncertain delay differential ...
Jiayu Zhang, Yang Liu
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

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

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

Delay Differential Equations

open access: yes, 2015
This is a short presentation on the topic of 'Delay Differential Equations'. In the latter part, I discuss a DDE system - the Mackey-Glass equation, in some detail (phase diagrams, bifurcations, chaos).
openaire   +2 more sources

Lp perturbations in delay differential equations

open access: yesElectronic Journal of Differential Equations, 2001
We present extensions and new proofs for the asymptotic formulae and theorems in Cooke [3] for differential equations with variable delay. Explicit asymptotic formulae, examples and comparisons with the classical results are given here.
Samuel Castillo, Manuel Pinto
doaj  

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