Titlebook: Delay Equations; Functional-, Complex Odo Diekmann,Sjoerd M. Verduyn Lunel,Hanns-Otto Wa Book 1995 Springer Science+Business Media New York

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Applied Mathematical Scienceshttp://image.papertrans.cn/d/image/264934.jpg

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https://doi.org/10.1007/978-1-4612-4206-2Eigenvalue; Smooth function; calculus; differential equation; functional analysis; measure; spectral theor

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The prototype equation for delayed negative feedback: periodic solutions,1) is the prototype for nonlinear delayed feedback. We shall see that the lag α can cause much more complex behaviour of solutions than in the ODE case α=0 where only monotone solutions converging to equilibria or infinity are possible. In particular, we shall prove the existence of periodic solutions (Section 5).

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https://doi.org/10.1007/978-3-642-90867-5and X, we consider . over ℝ. For the linearized semiflow {.(.)}, the time asymptotic behaviour near the equilibrium . ≡ 0 is described by the decomposition of the state space according to the spectrum of the generator of the semigroup and the accompanying exponential dichotomy. In this chapter we wi

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Die Fortentwicklung des Datenschutzesm starts with an analysis of solutions of the linearized equation. For delay equations, the latter, in turn, reduces to an analysis of the characteristic equation. Particularly relevant questions are: how are the roots of the characteristic equation located relative to the imaginary axis, and when d