The Resource Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, by Thomas Lorenz, (electronic resource)

Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, by Thomas Lorenz, (electronic resource)

Label
Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
Title
Mutational Analysis
Title remainder
A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
Statement of responsibility
by Thomas Lorenz
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Lorenz, Thomas
Dewey number
515.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
2MC1i9lWo3c
Image bit depth
0
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics,
Series volume
1996
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Mathematics
  • Differentiable dynamical systems
  • Differential Equations
  • Differential equations, partial
  • Systems theory
  • Analysis
  • Real Functions
  • Dynamical Systems and Ergodic Theory
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Systems Theory, Control
Label
Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, by Thomas Lorenz, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 497-503) and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (XIV, 509 p. 57 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642124716
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-12471-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000011509
  • (SSID)ssj0000449954
  • (PQKBManifestationID)11924072
  • (PQKBTitleCode)TC0000449954
  • (PQKBWorkID)10433429
  • (PQKB)10667260
  • (DE-He213)978-3-642-12471-6
  • (MiAaPQ)EBC3065342
  • (EXLCZ)992550000000011509
Label
Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, by Thomas Lorenz, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 497-503) and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (XIV, 509 p. 57 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642124716
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-12471-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000011509
  • (SSID)ssj0000449954
  • (PQKBManifestationID)11924072
  • (PQKBTitleCode)TC0000449954
  • (PQKBWorkID)10433429
  • (PQKB)10667260
  • (DE-He213)978-3-642-12471-6
  • (MiAaPQ)EBC3065342
  • (EXLCZ)992550000000011509

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