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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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,Über die Existenz Positiver Periodischer Lösungen bei einem Allgemeinen Diffusionsmodell,This paper is concerned with a general diffusion model which is described by a system of linear differential equations. Under certain conditions the existence of positiv periodic solutions is shown, if the coefficients and the right-hand side of the system are periodic.
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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 differential equation y′(x)=−cy(αx).
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Improved Absolute Stability of Predictor-Corrector Methods for Retarded Differential Equations,form dy(t)/dt = ω.y(t) + ω.y(t−ω) where ω., ω. and ω are constants (ω>0). By generalizing the conventional predictor-corrector methods it is possible to improve the stability region in the (ω.Δt, ω.Δt) — plane considerably. In particular, methods based on extrapolation-predictors and backward differentiation- correctors are studied.
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978-3-0348-6769-6Springer Basel AG 1983
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https://doi.org/10.1007/978-90-481-9612-8se operators are of “monotonie type”, that is isotonic if Lu≤lv implies u≤v and antitonic if Lu≤lv implies u≥v, are given. It is considered the case of 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 th
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A Procedural View of Critical Reasonablenessween 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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