Results 21 to 30 of about 6,865,105 (283)

Mean-square stability of Riemann–Liouville fractional Hopfield’s graded response neural networks with random impulses

Advances in Difference Equations, 2021
In this paper a model of Hopfield’s graded response neural network is investigated. A network whose neurons are subject to a certain impulsive state displacement at random times is considered. The model is set up and studied.
R. Agarwal, S. Hristova, D. O’Regan, P. Kopanov   +3 more
doaj   +1 more source

Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations [PDF]

Mathematical Problems in Engineering, 2013
This paper deals with nonlinear stochastic pantograph equations. For solving the equations, a class of extended Milstein methods are suggested. A mean-square stability criterion for this type of equations is presented. It is proved that under the suitable conditions the Milstein methods preserve the mean-square stability.
Feiyan Xiao, Tingting Qin, Chengjian Zhang   +2 more
openaire   +2 more sources

On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square

Applied Mathematics & Optimization, 2021
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial ...
Tomás Caraballo, Faten Ezzine, Mohamed Ali Hammami   +2 more
openaire   +3 more sources

The Improved Stability Analysis of Numerical Method for Stochastic Delay Differential Equations

Mathematics, 2022
In this paper, the improved split-step θ method, named the split-step composite θ method, is proposed to study the mean-square stability for stochastic differential equations with a fixed time delay.
Yu Zhang, Enying Zhang, Longsuo Li
doaj   +1 more source

Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

Abstract and Applied Analysis, 2012
This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
doaj   +1 more source

Boundary-Dependent Sleep-Wake Dysregulation in Idiopathic Hypersomnia. [PDF]

Ann Clin Transl Neurol
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Mombelli S, Lacourse K, Blais H, Deshaies-Rugama AS, Thompson C, Desautels A, Montplaisir J, Nigam M, Moderie C, Khajehpiri B, Duclos C, Lina JM, Carrier J, Gosselin N.   +13 more
europepmc   +2 more sources

Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations

Mathematics
This work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential ...
Tianyu He, Zhi Li, Tianquan Feng
doaj   +1 more source

Predator-prey Activity-Tuned Ecological System: An Exhilarating Rollercoaster of Survival [PDF]

International Journal of Mathematical, Engineering and Management Sciences
In natural ecosystems, the timing of daily activity in predator and prey plays a crucial role in determining their encounters and evolutionary outcomes. This study explores how coevolution in circadian activity patterns emerges from the dynamic interplay
Rajat Kaushik, Chitra Singh, Saurabh Kumar   +2 more
doaj   +1 more source

Numerical solutions of neutral stochastic functional differential equations [PDF]

, 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, Mao, Xuerong, Chinese Scholarship Council (Funder)   +2 more
core   +4 more sources

Mean-Square Non-Local Stability of Ship in Storm Conditions of Operation

Polish Maritime Research, 2019
The purpose of the paper is to create a method for studying nonlocal stability in the mean and in the mean square of the ship, positioned on the beam of an intensive wind–waves mode, which is based on the use of the correlation theory of random functions
Nekrasov Valeriy
doaj   +1 more source