Results 11 to 20 of about 43,728 (258)
Neural Delay Differential Equations
CoRR, 2021 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.
Qunxi Zhu, Yao Guo 0003, Wei Lin 0003
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Distributed Delay Differential Equation Representations of Cyclic Differential Equations [PDF]
SIAM Journal on Applied Mathematics, 2021 Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known linear chain trick can be used to show that the ODE model is equivalent to an Erlang distributed delay differential equation (DDE).
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On nonlinear delay differential equations [PDF]
Transactions of the American Mathematical Society, 1994 We examine qualitative behaviour of delay differential equations of the form \[ y ′
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Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform
Mathematics, 2023 The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
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Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is devoted to inhomogeneous Halanay-type inequalities together with inhomogeneous linear delay differential inequalities and equations. Based on the the variation of constants formula and some results borrowed from a recent paper of the ...
István Győri, László Horváth
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Global Boundedness for a Delay Differential Equation [PDF]
Transactions of the American Mathematical Society, 1986 The inequality ( ∂ t u − Δ u ) ( t , x ) ≤ u ( t , x ) ( 1 − u ( t − τ , x ) )
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AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
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Properties of the third order trinomial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 The purpose of the paper is to study asymptotic properties of the third-order delay differential equation \begin{equation*} {\left(r_2(t)\left(r_1(t)\left(y'(t)\right)^\gamma\right)'\right)'}+p(t){\left(y'(t)\right)^\gamma}+q(t)f\left(y\left(\tau(t ...
Blanka Baculíková +2 more
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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Delay differential logistic equation with harvesting
Mathematical and Computer Modelling, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonid Berezansky +2 more
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