Results 81 to 90 of about 45,401 (204)
New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities
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
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On the asymptotic behavior of neutral functional differential equations
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
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
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
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Homoclinic snaking in a neutral delay model of a transmission line oscillator
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
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.
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Linearized oscillation results for even-order neutral differential equations [PDF]
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
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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
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Oscillation of unstable second order neutral differential equations with mixed argument [PDF]
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
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Special solutions of neutral functional differential equations
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
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