Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID-19. [PDF]
Math Methods Appl Sci, 2022 In the wake of the 2020 COVID‐19 epidemic, much work has been performed on the development of mathematical models for the simulation of the epidemic and of disease models generally.
Guglielmi N, Iacomini E, Viguerie A.
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions. [PDF]
Entropy (Basel), 2021 The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Agarwal RP, Bazighifan O, Ragusa MA.
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Nonlinear delay differential equations and their application to modeling biological network motifs. [PDF]
Nat Commun, 2021 Biological regulatory systems, such as cell signaling networks, nervous systems and ecological webs, consist of complex dynamical interactions among many components.
Glass DS, Jin X, Riedel-Kruse IH.
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Neural Delay Differential Equations [PDF]
International Conference on Learning Representations, 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.
Zhu, Qunxi, Guo, Yao, Lin, Wei
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An improved approach for studying oscillation of second-order neutral delay differential equations. [PDF]
J Inequal Appl, 2018 The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments.
Grace SR +3 more
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OSFESOR Code – The Delay Differential Equation Tool “Improving Delay Differential Equations Solver” [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 After having reviewed the RETARD code, which was originally written by Hairer & Wanner in 1995 with the aim of solving delay differential equations (DDEs), a new arithmetic called OSFESOR code is presented in this paper.
Riyadh Naoum +2 more
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Existence, uniqueness, and stability of uncertain delay differential equations with V-jump [PDF]
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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Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
Mathematics, 2022 The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
B. Almarri +3 more
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Computation, 2023 In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath +2 more
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New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
Mathematics, 2021 In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
I. Jadlovská
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