Band 1996
Mutational Analysis A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
Aus der Reihe
Lecture Notes in Mathematics
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- Taschenbuch ausgewählt
- eBook
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Sprache:Englisch
48,99 €
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
09.06.2010
Abbildungen
XIV, 57 illus. in color., farbige Illustrationen
Verlag
Springer BerlinSeitenzahl
509
Maße (L/B/H)
23,5/15,5/2,7 cm
Gewicht
880 g
Auflage
2010
Sprache
Englisch
ISBN
978-3-642-12470-9
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.
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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