Results 21 to 30 of about 28,711 (161)

On approximation of the solutions of delay differential equations by using piecewise constant arguments

International Journal of Mathematics and Mathematical Sciences, 1991
By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA).
Istevan Györi
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Qualitative Behavior of the Solutions to Delay and Difference Equations

Вестник КазНУ. Серия математика, механика, информатика, 2018
It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
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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
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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
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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
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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
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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
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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
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses

Complexity, 2020
In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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Existence, uniqueness, and stability of uncertain delay differential equations with V-jump

Advances in Difference Equations, 2020
No previous study has involved uncertain delay differential equations with jump. In this paper, we consider the uncertain delay differential equations with V-jump, which is driven by both an uncertain V-jump process and an uncertain canonical process ...
Zhifu Jia, Xinsheng Liu, Cunlin Li
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