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About Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
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.
Detailed Information
| Author: | Thomas Lorenz (auth.) |
|---|---|
| Publication Year: | 2010 |
| ISBN: | 3642124712 |
| Pages: | 530 |
| Language: | English |
| File Size: | 5.022 |
| Format: | |
| Price: | FREE |
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