Description |
1 online resource (xiv, 509 pages) : illustrations (some color) |
Series |
Lecture notes in mathematics ; 1996 |
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Lecture notes in mathematics (Springer-Verlag) ; 1996
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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 |
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Print version record |
Subject |
Differential equations.
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Cauchy problem.
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Differential inclusions.
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Problema de Cauchy
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Ecuaciones diferenciales
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Cauchy problem
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Differential equations
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Differential inclusions
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Verallgemeinerte Differentialgleichung
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Nichtlineare Evolutionsgleichung
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Nichtglatte Analysis
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Mengenwertige Abbildung
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Form |
Electronic book
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ISBN |
9783642124716 |
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3642124712 |
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3642124704 |
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9783642124709 |
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1280391758 |
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9781280391750 |
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9786613569677 |
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6613569674 |
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