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Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces / by Thomas Lorenz

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 1996Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: Online-Ressource (XIV, 509p, digital)ISBN:
  • 9783642124716
Subject(s): Genre/Form: Additional physical formats: 9783642124709 | Buchausg. u.d.T.: Mutational analysis. Berlin : Springer, 2010. XIV, 509 S.DDC classification:
  • 515.35
  • 515
  • 515 515.35
MSC: MSC: *37-02 | 37Axx | 34DxxRVK: RVK: SI 850LOC classification:
  • QA299.6-433
  • QA433
DOI: DOI: 10.1007/978-3-642-12471-6Online resources: Summary: 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 SpacesSummary: 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 modellingPPN: PPN: 1649777426Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA | ZDB-2-LNC
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