Download Ebook USA Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces (Lecture Notes in Mathematics)

Book Title : [size=20pt]Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces (Lecture Notes in Mathematics)[/size]

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 wellposed Cauchy problem in finite time intervals. Here are some of the examples: Feedback evolutions of compact subsets of the Euclidean space Birthandgrowth 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.
Author(s) :Thomas Lorenz (2010)

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