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Van der Pol model in two-delay differential equation representation [PDF]
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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OSFESOR Code – The Delay Differential Equation Tool “Improving Delay Differential Equations Solver” [PDF]
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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Ordinary and Delay Differential Equations. [PDF]
W. R. Utz, R. D. Driver
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Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]
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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Ulam Stability of n-th Order Delay Integro-Differential Equations
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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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
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
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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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB
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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Pseudospectra and delay differential equations
AbstractIn this paper, we present a new method for computing the pseudospectra of delay differential equations (DDEs) with fixed finite delay. This provides information on the sensitivity of eigenvalues under arbitrary perturbations of a given size, and hence insight into how stability may change under variation of parameters.
Green, K, Wagenknecht, T
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The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah+3 more
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