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Mutational Analysis A Joint Framework for Cauchy Problems in and Beyond Vector Spaces /
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 s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
|
| Edición: | 1st ed. 2010. |
| Colección: | Lecture Notes in Mathematics,
1996 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-12471-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220117233924.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100601s2010 gw | s |||| 0|eng d | ||
| 020 | |a 9783642124716 |9 978-3-642-12471-6 | ||
| 024 | 7 | |a 10.1007/978-3-642-12471-6 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Lorenz, Thomas. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mutational Analysis |h [electronic resource] : |b A Joint Framework for Cauchy Problems in and Beyond Vector Spaces / |c by Thomas Lorenz. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2010. | |
| 300 | |a XIV, 509 p. 57 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1996 | |
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Real Functions. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642124709 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642124723 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1996 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-12471-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||