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

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Differential-Difference Equations/Differential-DifferenzengleichungenApplications and Num

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Approximation of the State of Infinite Delay and Volterra-Type Equations,her we describe in some detail how the general scheme that is presented can be used for approximation of the state by employing subspaces of linear spline functions. In a forthcoming paper we shall rely on these results in order to discuss identification and control problems associated with delay eq

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A Numerical Procedure to Compute Many Solutions of Diffusion-Reaction Systems,ween Z. and Z. allows for diffusive and/or convective transport. We have shown that branches of stable steady states are possible involving alterations of substrate concentration in Z. and Z. only whereas Z.,…,Z. operate on a nearly constant concentration level along the branch. There are symmetric

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,Anwachsende Schwingungen bei einigen Differenzengleichungen mit multiplikativem Verzögerungsglied,ons is very different in the cases 0<α<1/2 and 1/2≤α<1. In the second case exists as solution y. for all n only y.=0, but there exist unboundedly increasing solutions for sufficiently large n. Numbers and graphs are given for some special values of a and the equation (above)is compared with the diff

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Estimating the Global Error of Runge-Kutta Approximations for Ordinary Differential Equations,ccuracy of the numerical result returned by the code. Even when the code reports an estimate of the global error, the question may remain whether this estimate is correct, i. e. whether the user can rely on the estimate. This paper proposes a simple idea of measuring the reliability of the global er

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Characteristic Roots of Discretized Functional Differential Equations, determined by the characteristic roots of the discretized differential equation. In particular the so-called essential roots (the roots on or close to the unit circle) play an important rôle. If a functional differential equation is solved by means of a linear multistep method, then the number of c

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