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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Existence of a period two solution of a delay differential equation
We consider the existence of a symmetric periodic solution for the following distributed delay differential equation \begin{document}$ x^{\prime}(t) = -f\left(\int_{0}^{1}x(t-s)ds\right), $\end{document} where \begin{document}$ f(x) = r\sin x $\end ...
Y. Nakata
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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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OSCILLATION OF PARABOLIC DELAY DIFFERENTIAL EQUATIONS [PDF]
I. Kubiaczyk, Samir H. Saker
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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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Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19 [PDF]
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.
N. Guglielmi, E. Iacomini, Alex Viguerie
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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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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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On the Oscillation of the Generalized Food-Limited Equations with Delay
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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Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays [PDF]
We study a scalar delay differential equation (DDE) with two delayed feedback terms that depend linearly on the state. The associated constant-delay DDE, obtained by freezing the state dependence, is linear and without recurrent dynamics.
R. Calleja +2 more
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