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03402nam a22005895i 4500 |
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978-3-642-12471-6 |
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|a 9783642124716
|9 978-3-642-12471-6
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|a 10.1007/978-3-642-12471-6
|2 doi
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|a QA299.6-433
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|a MAT034000
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|a 515
|2 23
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|a Lorenz, Thomas.
|e author.
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|a Mutational Analysis
|h [electronic resource] :
|b A Joint Framework for Cauchy Problems in and Beyond Vector Spaces /
|c by Thomas Lorenz.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2010.
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|a XIV, 509 p. 57 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1996
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|a 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.
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|a 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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|a Mathematics.
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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Dynamics.
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650 |
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|a Ergodic theory.
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650 |
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|a Differential equations.
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650 |
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|a Partial differential equations.
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650 |
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|a Functions of real variables.
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|a System theory.
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|a Mathematics.
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|a Analysis.
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|a Real Functions.
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|a Dynamical Systems and Ergodic Theory.
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|a Ordinary Differential Equations.
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650 |
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|a Partial Differential Equations.
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650 |
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|a Systems Theory, Control.
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710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9783642124709
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830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1996
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856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-642-12471-6
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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912 |
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|a ZDB-2-LNM
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950 |
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|a Mathematics and Statistics (Springer-11649)
|