Results 21 to 30 of about 264,840 (333)
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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Effect of Differential Retardation Equations on Insect Life Cycle: Modeling and Analysis for Deeper Understanding [PDF]
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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Neural Delay Differential Equations
Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been successfully developed for conquering some limitations emergent in application of the original framework.
Zhu, Qunxi, Guo, Yao, Lin, Wei
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Marcus Stochastic Differential Equations: Representation of Probability Density
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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A Recipe for State Dependent Distributed Delay Differential Equations
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler +2 more
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Comparing virus incubation time in SIRC models: Deterministic versus stochastic approaches
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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Dissipativity of the delay semigroup
Under mild conditions a delay semigroup can be transformed into a (generalized) contraction semigroup by modifying the inner product on the (Hilbert) state space into an equivalent inner product.
Bierkens, G.N.J.C., Gaans, O. van
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Characteristic matrices for linear periodic delay differential equations [PDF]
Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Chow S. N., Jan Sieber, Robert Szalai
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
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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Mean field approximation for noisy delay coupled excitable neurons
Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by $N\gg 1$ stochastic delay-differential equations is derived.
Arnold +28 more
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