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Titlebook: Differential-Difference Equations/Differential-Differenzengleichungen; Applications and Num L. Collatz,G. Meinardus,W. Wetterling Book 1983

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Approximation of the State of Infinite Delay and Volterra-Type Equations,s natural formulation as an abstract Cauchy problem in an infinite dimensional state space (compare (2.7) below), will be approximated by a sequence of differential equations in finite dimensional Euclidean spaces. There are several reasons for our interest in such approximation results. One of them
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Faktorisierung Linearer Differenzengleichungen mit Anwendungen auf Matrizen,ets vollständig in Operatoren der Ordnung 1 faktorisiert werden. Eine solche Zerlegung ist in den meisten Fällen weder eindeutig noch kommutativ. Bei der Behandlung von Randwertaufgaben mit Differenzengleichungen kann man sich häufig derartige Faktorisierungen zunutze machen. Es werden hier mehrere
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Characteristic Roots of Discretized Functional Differential Equations,haracteristic roots of the discretized equation is inversely proportional to the stepsize used. In this paper it is shown that only a fixed number of these roots are strictly inside the unit circle, and all the others are “essential”.
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Maximum Principles for Periodic Solutions of Linear Delay Differential Equations,f a variable delay τ=τ(t) and, separately, that of a constant delay τ. The first one is more general, as well as the conditions which are found. On the contrary, for constant delays, optimal results are obtained.
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A Numerical Procedure to Compute Many Solutions of Diffusion-Reaction Systems,s of substrate concentration in Z. and Z. only whereas Z.,…,Z. operate on a nearly constant concentration level along the branch. There are symmetric and unsymmetric steady states of this kind (see also section 2).
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