Results 31 to 40 of about 38,967 (305)

Exponential Multistep Methods for Stiff Delay Differential Equations

Axioms, 2022
Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan, Weihong Chen, Xinji Chen, Runjie Zhang   +3 more
doaj   +1 more source

Marcus Stochastic Differential Equations: Representation of Probability Density

Mathematics
Marcus stochastic delay differential equations are often used to model stochastic dynamical systems with memory in science and engineering. It is challenging to study the existence, uniqueness, and probability density of Marcus stochastic delay ...
Fang Yang, Chen Fang, Xu Sun
doaj   +1 more source

Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses

Discrete Dynamics in Nature and Society, 2017
A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established. Existing algorithm may not converge when the impulses are variable.
X. Liu, Y. M. Zeng
doaj   +1 more source

Effect of Differential Retardation Equations on Insect Life Cycle: Modeling and Analysis for Deeper Understanding [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In this research, we explore the impact of using delay differential equations in analyzing and understanding actions within the framework of studying the life cycle of insects.
Rajaa Mhoo, Thair Thanoon
doaj   +1 more source

Asymptotic behaviours of stochastic differential delay equations [PDF]

, 2005
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong, Xuerong Mao, Yi Shen   +3 more
core   +1 more source

Comparing virus incubation time in SIRC models: Deterministic versus stochastic approaches

Infectious Disease Modelling
Time delays are a fundamental feature in modeling stochastic epidemic systems, as they capture the incubation period and other physiological lags inherent in disease transmission.
Abdelmalik Moujahid, Fernando Vadillo
doaj   +1 more source

Models of Delay Differential Equations [PDF]

, 2021
This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling.

core   +1 more source

Averaging Method for Neutral Stochastic Delay Differential Equations Driven by Fractional Brownian Motion

Journal of Function Spaces, 2020
In this paper, we investigate the stochastic averaging method for neutral stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H∈1/2,1.
Peiguang Wang, Yan Xu
doaj   +1 more source

Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]

, 2013
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke, Kloeden, Peter E., Mao, Xuerong   +2 more
core   +1 more source

On the Oscillatory Properties of Solutions of Second-Order Damped Delay Differential Equations [PDF]

, 2021
In the work, a new oscillation condition was created for second-order damped delay differential equations with a non-canonical operator. The new criterion is of an iterative nature which helps to apply it even when the previous relevant results fail to ...
Awatif A. Hendi, Mohamed A. Abdou, Osama Moaaz, Clemente Cesarano, Wedad R. Alharbi   +4 more
core   +1 more source