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E-book
Author Lorenz, Thomas, Dr

Title Mutational analysis : a joint framework for cauchy problems in and beyond vector spaces / Thomas Lorenz
Published Berlin : Springer, 2010

Copies

Description 1 online resource (xiv, 509 pages) : illustrations (some color)
Series Lecture notes in mathematics ; 1996
Lecture notes in mathematics (Springer-Verlag) ; 1996
Contents Extending Ordinary Differential Equations to Metric Spaces: Aubin's Suggestion -- Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity -- Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality -- Introducing Distribution-Like Solutions to Mutational Equations -- Mutational Inclusions in Metric Spaces
Summary Annotation 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
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Differential equations.
Cauchy problem.
Differential inclusions.
Problema de Cauchy
Ecuaciones diferenciales
Cauchy problem
Differential equations
Differential inclusions
Verallgemeinerte Differentialgleichung
Nichtlineare Evolutionsgleichung
Nichtglatte Analysis
Mengenwertige Abbildung
Form Electronic book
ISBN 9783642124716
3642124712
3642124704
9783642124709
1280391758
9781280391750
9786613569677
6613569674