Results 71 to 80 of about 45,401 (204)

On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics
Some results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
doaj   +1 more source

Equivalence Transformation for Neutral Differential Equations: Oscillation of Solutions

open access: yes
We introduce an equivalence transformation to study the oscillation behavior of solutions for linear neutral differential equations of canonical and noncanonical types. The new approach leads to several novel oscillation criteria.
Zeynep Nilhan Gürkan   +2 more
core   +1 more source

Oscillations Of Neutral Differential Equations

open access: yes, 1991
Abstract A neutral delay differential equation is a differential equation in which the highest-order derivative of the unknown function appears in the equation both with and without delays.
I Györi, G Ladas
openaire   +4 more sources

Oscillation criteria for a linear neutral differential equation

open access: yesJournal of Mathematical Analysis and Applications, 2003
Consider the neutral differential equation of the form \[ \dot{x}( t) -a( t) \dot{x}( g( t) ) +b( t) x(h( t) )=0, \] with \(0\leq a( t)
Berezansky, Leonid, Braverman, Elena
openaire   +1 more source

On the Oscillation of Solutions of Differential Equations with Neutral Term

open access: yes, 2021
In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method.
Alina-Daniela Vîlcu   +4 more
core   +1 more source

Spline approximations for neutral delay differential equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 1994
Not available.
A. Bellen, Gheorghe Micula
doaj   +2 more sources

Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]

open access: yes, 1998
summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M.   +6 more
core   +1 more source

Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

open access: yesElectronic Journal of Differential Equations, 2017
This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to
Ercan Tunc
doaj  

Optimal control governed impulsive neutral differential equations

open access: yesResults in Control and Optimization
We derive Pontryagin’s Maximum Principle for optimal control problems characterized by nonlinear impulsive neutral type differential equations.
Oscar Camacho   +2 more
doaj   +1 more source

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations

open access: yes, 2011
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo   +5 more
core   +1 more source

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