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Titlebook: Asymptotic Analysis; From Theory to Appli Ferdinand Verhulst Conference proceedings 1979 Springer-Verlag Berlin Heidelberg 1979 Analysis.As

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楼主: Denial
发表于 2025-3-28 17:44:54 | 显示全部楼层
On matching principles,recall the principal results which have been obtained to match asymptotic expansions of a singular function; these classical results are based on Kaplun‘s extension theorem. After Kaplun and Fraenkel, most of the results are from W. Eckhaus; in fact, he was the first to say clearly that matching is
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Feed-back control of singularly perturbed heating problems, ↓ 0 and to which a feed-back control mechanism is applied based on the observation of temperature in a finite number of points. Some results are given concerning the following subjects:.If relevant the obtained results are interpreted in terms of the physics of the problem. Moreover for some exampl
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Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems,allel to one pair of the sides and perpendicular to the axis of the pipe, when the Hartman number M is large. For the problem for the dimensionless induced magnetic field and the velocity (both parallel to the axis of the pipe) formal asymptotic approximations of the solution for ε=(2M). ↓ 0 are con
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Asymptotic methods for the Volterra-Lotka equations,ll and large amplitude oscillations. A more extensive analysis is given for the case where one of the equations contains a small parameter. Our analysis of such a singularly perturbed type of Volterra-Lotka system leads to an asymptotic formula of the period for oscillations with moderate and large
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