Results 81 to 90 of about 45,401 (204)

New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities

open access: yes, 2020
In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities.
Shigeru Furuichi, Ali Muhib, Osama Moaaz
core   +1 more source

On the asymptotic behavior of neutral functional differential equations

open access: yesArchiv der Mathematik, 1983
On considere une equation differentielle fonctionnelle de type neutre {x(t)−g(t,x t )}'=f(t,x t ) ou f et g sont des fonctions continues de J×C r →R n , J=[t o ,t 0 +A]
Ntouyas, S. K., Sficas, Y. G.
openaire   +2 more sources

Comparison theorems for third-order neutral differential equations

open access: yesElectronic Journal of Differential Equations, 2016
We establish comparison theorems for the oscillation of solutions to third-order neutral differential equations via linear ordinary and delay differential equations.
Zuzana Dosla, Petr Liska
doaj  

A new generalization of Halanay-type inequality and its applications

open access: yesJournal of Inequalities and Applications, 2018
In this paper, in order to study the dissipativity of nonlinear neutral functional differential equations, a generalization of the Halanay inequality is given.
Haiyang Wen, Shi Shu, Liping Wen
doaj   +1 more source

Homoclinic snaking in a neutral delay model of a transmission line oscillator

open access: yes, 2006
In a transmission line oscillator (TLO) a linear wave travels along a piece of cable, the transmission line, and interacts with terminating electrical components.
Wilson, RE, Barton, DAW, Krauskopf, B
core  

Delay-dependent exponential stability of neutral stochastic delay systems

open access: yes, 2009
This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
core   +1 more source

Linearized oscillation results for even-order neutral differential equations [PDF]

open access: yes, 1990
summary:The paper is concerned with oscillation properties of $n$-th order neutral differential equations of the form \[ [x(t)+cx(\tau (t))]^{(n)}+q(t)f\bigl (x(\sigma (t))\bigr )=0,\quad t\ge t_0>0, \] where $c$ is a real number with $|c|\ne 1$, $q\in C(
Shen, J. H.   +12 more
core   +1 more source

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

open access: yes, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke   +5 more
core   +1 more source

Oscillation of unstable second order neutral differential equations with mixed argument [PDF]

open access: yes, 2005
summary:The aim of this paper is to present new oscillatory criteria for the second order neutral differential equation with mixed argument \[ (x(t)-px(t-\tau ))^{\prime \prime }- q(t)x(\sigma (t))=0. \] The results include also sufficient conditions for
Pirč, Viktor, Džurina, Jozef
core   +1 more source

Special solutions of neutral functional differential equations

open access: yesJournal of Inequalities and Applications, 2001
For a system of nonlinear neutral functional differential equations we prove the existence of an -parameter family of "special solutions" which characterize the asymptotic behavior of all solutions at infinity.
Győri István   +1 more
doaj  

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