Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces (Lecture Notes in Mathematics Book 1996) 2010th Edition by Thomas Lorenz (PDF)

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    Ebook Info

    • Published: 2010
    • Number of pages: 523 pages
    • Format: PDF
    • File Size: 3.72 MB
    • Authors: Thomas Lorenz

    Description

    Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure.This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.Here are some of the examples:- Feedback evolutions of compact subsets of the Euclidean space- Birth-and-growth processes of random sets (not necessarily convex)- Semilinear evolution equations- Nonlocal parabolic differential equations- Nonlinear transport equations for Radon measures- A structured population model- Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately – due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.

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