Results 1 to 10 of about 29,531 (259)
The nonnegativity of solutions of delay differential equations
Applied Mathematics Letters, 2000 In this paper, the author proves the nonnegativity of solutions to delay equations of the type \[ x'(t)=F(x(t))+G(x(t-\tau)) \] under certain conditions. A few examples are discussed.
Marek Bodnar
exaly +2 more sources
A New Numerical Mechanism for Solving Two Models of Variable Order Delay Differential Equations [PDF]
Delta Journal of Science, 2022 The current paper offers an effective numerical mechanism for solving two models of variable order (VO) linear/nonlinear delay differential equations; the models represent the variable order delay differential equations (VODDEs) and the variable order ...
Ayman Mahmoud, Hoda Ahmed, Marina Melad
doaj +1 more source
Neural Delay Differential Equations
CoRR, 2021 Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been successfully developed for conquering some limitations emergent in application of the original framework.
Qunxi Zhu, Yao Guo 0003, Wei Lin 0003
openaire +3 more sources
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 +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
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 +4 more sources
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 +4 more
doaj +1 more source
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
doaj +2 more sources
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