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Delay differential equations [PDF]

, 2011
Tato bakalářská práce se zabývá problematikou diferenciálních rovnic se zpožděním, které na rozdíl od obyčejných diferenciálních rovnic, obsahují v argumentu neznámé funkce funkci tzv. zpoždění a díky tomu mohou přesněji popisovat některé reálné systémy,
Kráčmar, Jiří
core   +2 more sources

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, Abbas Al-Bayati, Ann Al-Sawoor   +2 more
doaj   +2 more sources

Fractional-Step Method with Interpolation for Solving a System of First-Order 2D Hyperbolic Delay Differential Equations

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, Subburayan Veerasamy, Ravi P. Agarwal   +2 more
doaj   +1 more source

Van der Pol model in two-delay differential equation representation

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
doaj   +1 more source

Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term

Mathematics, 2021
The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
doaj   +1 more source

Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

Frontiers in Physics, 2019
This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani, Dumitru Baleanu, Dumitru Baleanu, Jayakumar Thippan, Vinoth Sivakumar   +4 more
doaj   +1 more source

On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay

Advances in Difference Equations, 2010
The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem: x˙(t)+∫t0tK(t,s)x(h(s))ds=f(t),  t≥t0,  x∈ℝn, x(t)=
Zdenĕk Šmarda, Josef Diblík, Leonid Berezansky   +2 more
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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).
openaire   +3 more sources

Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]

, 2013
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
B. Liu, C. T. H. Baker, C. Zhang, D. J. Higham, D. J. Higham, F. Wu, F. Wu, F. Wu, Fuke Wu, J. K. Hale, K. Burrage, K. Burrage, Peter E. Kloeden, S. Pang, S. Zhang, T. Caraballo, X. Mao, X. Mao, X. Mao, Xuerong Mao, Y. Saito, Y. Saito   +21 more
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A numerical technique for solving nonlinear singularly perturbed delay differential equations

Mathematical Modelling and Analysis, 2018
This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
doaj   +1 more source