Results 121 to 130 of about 28,711 (161)
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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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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, 1986The 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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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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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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Delay Differential Equations Models
1993Time 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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Stochastic Delay-Differential Equations
2009This 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
2014This 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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Delay Differential Equations: Theory and Numerics
1995Abstract Many real life phenomena in physics, engineering, biology, medicine and economics can be modeled by initial value problems (IVPs) for ordinary differential equations (ODEs) of the type where the function y(t) represents some physical quantity which evolves in time.
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Delay and Differential Equations
Delay and Differential Equations, 1992A. M. Fink +2 more
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