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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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Complex Delay-Differential Equations
2021Kai Liu, Ilpo Laine, Lianzhong Yang
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