Results 11 to 20 of about 2,856,138 (288)

Oscillatory Solutions to Neutral Delay Differential Equations

open access: yesMathematics, 2021
This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari   +4 more
doaj   +2 more sources

Numerical solutions of neutral stochastic functional differential equations [PDF]

open access: yes, 2008
This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke   +2 more
core   +4 more sources

Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]

open access: yes, 2008
The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui   +4 more
core   +4 more sources

An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type

open access: yesMathematics, 2021
It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced ...
Osama Moaaz, Ali Muhib, Shyam S. Santra
doaj   +1 more source

Neutral Operator and Neutral Differential Equation [PDF]

open access: yesAbstract and Applied Analysis, 2011
In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed
Jingli Ren, Zhibo Cheng, Stefan Siegmund
openaire   +3 more sources

Neutral set differential equations [PDF]

open access: yesCzechoslovak Mathematical Journal, 2015
The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous ...
Abbas, Umber   +3 more
openaire   +2 more sources

Conditions for Oscillation of a Neutral Differential Equation [PDF]

open access: yesInternational Journal of Differential Equations, 2010
For a neutral differential equation with positive and changeable sign coefficients [x(t)−a(t)x(δ(t))]′ + p(t)F(x(τ(t))) − q(t)G(x(σ(t))) = 0, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.
Yan, Weiping, Yan, Jurang
openaire   +3 more sources

Analysis of stochastic neutral fractional functional differential equations

open access: yesBoundary Value Problems, 2022
This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani   +3 more
doaj   +1 more source

Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]

open access: yesOpuscula Mathematica, 2017
This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef   +2 more
doaj   +1 more source

A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations

open access: yesJournal of Inequalities and Applications, 2010
This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
doaj   +2 more sources

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