Van der Pol model in two-delay differential equation representation [PDF]
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Maximum likelihood inference for multivariate delay differential equation models [PDF]
Scientific ReportsThe maximum likelihood inference framework for delay differential equation models in the multivariate settings is developed. The number of delay parameters is assumed to be one or more.
Ahmed Adly Mahmoud +6 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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Ulam Stability of n-th Order Delay Integro-Differential Equations
Mathematics, 2021 In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
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Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
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Exploring complicated behaviors of a delay differential equation
Mathematical Modelling and Control, 2023 Complicated behaviors of a delay differential equation are explored through the Euler discretization method. It rigorously shows that the corresponding discrete equation can be chaotic under some conditions, which reflects that there exist complicated ...
Zongcheng Li
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On the Oscillation of the Generalized Food-Limited Equations with Delay
Aceh International Journal of Science and Technology, 2012 The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay ...
Bamaina M. Muhammad +2 more
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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB
JUTI: Jurnal Ilmiah Teknologi Informasi, 2002 Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
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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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