Results 301 to 310 of about 590,091 (350)

Vector Delay Differential Equations

2012
Chapter 9 is devoted to nonoscillation of systems of delay differential equations. Wazewski’s result claims that a solution of the vector differential equation is not less than a solution of the differential inequality if and only if the off-diagonal entries of the matrix are nonpositive.
Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky   +3 more
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Delay Differential Equations

2017
Almost all dynamical systems can be subject to some sort of feedback control, where a time delay arises due to a finite time interval being required for the system to sense a change and react to it. Also, many dynamical systems, especially in biology, have the delays inherently built in.
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The delay differential equation

Mathematika, 1986
The usual method of dealing with delay differential equations such asis the method of steps [1, 2]. In this, y(x) is assumed to be known for − α < x < 0, thereby defining over 0 < x < α. As a result of integration, the value of y is now known over 0 < x < α, and the integration proceeds thereon by a succession of steps.
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Delay Differential Equations and Applications to Biology

Forum for Interdisciplinary Mathematics, 2021
Fathalla A. Rihan
semanticscholar   +1 more source

Delay Differential Equations

2011
Delay differential equations occur in many areas of science. Mathematically, delay terms render differential equations infinite dimensional. This enables even simple equations with delay terms to show complex dynamics.
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Neural network method: delay and system of delay differential equations

Engineering computations, 2021
Shagun Panghal, Manoj Kumar
semanticscholar   +1 more source

Delay Differential Equations Models

1993
Time delays are used to model several different mechanisms in the dynamics of epidemics. Incubation periods, maturation times, age structure, seasonal or diurnal variations, interactions across spatial distances or through complicated paths, as well as other mechanisms have been modeled by the introduction of time delays in dynamic models. In fact, all
Stavros Busenberg, Kenneth Cooke
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The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps

Applied Mathematics Letters, 2021
H. Ahmed, Quanxin Zhu
semanticscholar   +1 more source

Stochastic Delay-Differential Equations

2009
This chapter concerns the effect of noise on linear and nonlinear delay-differential equations. Currently there exists no formalism to exactly compute the effects of noise in nonlinear systems with delays. The standard Fokker–Planck approach is not justified because it is meant for Markovian systems.
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Linear Differential Delay Equations

2014
This chapter is devoted to vector linear differential-delay equations (DDEs). We derive estimates for the \(L^p\)- and \(C\)-norms of the Cauchy operators of autonomous and time-variant differential-delay equations. These estimates in the sequel enable us to establish stability conditions for linear and nonlinear neutral type functional differential ...
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