Results 11 to 20 of about 590,091 (350)
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
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On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations
Mathematics, 2021 In this paper, effective oscillation criteria for third-order delay differential equations of the form, r2r1y′′′(t)+q(t)y(τ(t))=0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established.
I. Jadlovská +3 more
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A new numerical method to solve pantograph delay differential equations with convergence analysis
, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
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IEEE Access, 2020 In this paper, novel computing paradigm by exploiting the strength of feed-forward artificial neural networks (ANNs) with Levenberg-Marquardt Method (LMM), and Bayesian Regularization Method (BRM) based backpropagation is presented to find the solutions ...
I. Khan +6 more
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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
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Neutral Delay Differential Equations: Oscillation Conditions for the Solutions
Symmetry, 2021 The purpose of this article is to explore the asymptotic properties for a class of fourth-order neutral differential equations. Based on a comparison with the differential inequality of the first-order, we have provided new oscillation conditions for the
O. Bazighifan, Hammad Alotaibi, A. Mousa
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E S A I M: Control, Optimisation and Calculus of Variations, 2020 This work revisits recent results on maximal multiplicity induced-dominancy for spectral values in reduced-order time-delay systems and extends it to the general class of second-order retarded differential equations.
I. Boussaada +4 more
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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 +2 more
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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 +4 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).
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