Titlebook: A Toolbox of Averaging Theorems; Ordinary and Partial Ferdinand Verhulst Book 2023 The Editor(s) (if applicable) and The Author(s), under e

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Intra- and Extracellular pH in Solid Tumorss of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular tori containing quasi-periodic solutions), homoclinics, heteroclinics and in general stable and unstable manifolds emanating from special solutions. As the theory

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https://doi.org/10.1007/978-94-017-0739-8We have seen averaging results in the Introduction. We will explain now the theory for .(.) approximations on a long timescale.

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Antiandrogens in Prostate CancerA mathematical theory of approximation should, because of its guaranteed precision, also produce . statements. In other words: if we find a phenomenon by approximation does it persist for the original problem with the original equations? We will discuss a few basic cases in various chapters.

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https://doi.org/10.1007/978-3-642-65165-6To improve the averaging approximation to second order in . we can be motivated by the necessity of more precision but, more importantly, also by the fact that qualitative new phenomena arise at higher order.

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GENRE

subordinate

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Diane R. Bielenberg,Isaiah J. FidlerThis chapter demonstrates the use of averaging for Hamiltonian systems in some important cases.

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Lymphatic System in the Pathology of CancerThe qualitative and quantitative theory of weakly nonlinear partial differential equations is still fragmented and it is too early to present a coherent picture of the theory but we will discuss a number of promising methods and interesting problems.