Results 41 to 50 of about 164,877 (270)

Existence of solutions and stability for impulsive neutral stochastic functional differential equations [PDF]

open access: yes, 2019
In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping principle.
Benhadri, Mimia   +2 more
core   +1 more source

Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses

open access: yesJournal of Applied Mathematics, 2013
We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
doaj   +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   +3 more sources

Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay [PDF]

open access: yes, 2016
In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.Fondo Europeo de Desarrollo ...
Boudaoui, Ahmed   +2 more
core   +1 more source

Oscillation theorems of solution of second-order neutral differential equations

open access: yesAIMS Mathematics, 2021
In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory.
Ali Muhib   +3 more
doaj   +1 more source

A class of Neutral Functional Differential Equations

open access: yesJournal of Differential Equations, 1972
Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
openaire   +3 more sources

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

open access: yesAdvances in Mathematical Physics, 2014
The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

A Neutral Functional Differential Equation with an Unbounded Kernel

open access: yesJournal of Integral Equations and Applications, 1993
The authors consider the scalar neutral functional differential equation (1) \((d/dt) \int^ 0_{-\infty} g(s)u(t + s)ds = 0\) for \(t \in [0,\infty)\), \(u(t) =\varphi (t)\) for \(t0\), with norm \(\| f \|^ 2 = \int^ 0_{-\infty} e^{-\omega s} h(s)f^ 2(s)ds\).
Turi, Janos, Desch, Wolfgang
openaire   +4 more sources

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

Large deviations for neutral stochastic functional differential equations [PDF]

open access: yesCommunications on Pure & Applied Analysis, 2020
In this paper, under a one-sided Lipschitz condition on the drift coefficient we adopt (via contraction principle) a exponential approximation argument to investigate large deviations for neutral stochastic functional differential equations.
Yongqiang SUO, Chenggui Yuan
openaire   +5 more sources

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