Coverart for item
The Resource Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov

Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov

Label
Differential Equations on Measures and Functional Spaces
Title
Differential Equations on Measures and Functional Spaces
Statement of responsibility
by Vassili Kolokoltsov
Creator
Author
Subject
Language
eng
Summary
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals
Member of
Cataloging source
LQU
http://library.link/vocab/creatorName
Kolokolʹt︠s︡ov, V. N.
Dewey number
515.352
Index
no index present
LC call number
QA371
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Birkhäuser Advanced Texts Basler Lehrbücher,
http://library.link/vocab/subjectName
  • Differential equations
  • Differential equations, Partial
  • Operator theory
  • Mathematics
Label
Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Analysis on measures and functional spaces -- Basic ODEs in complete locally convex spaces -- Discrete kinetic systems -- Linear evolutionary equations: foundations -- Linear evolutionary equations: advanced theory -- Method of propagators for nonlinear equations.-Equations in the spaces of weighted measures -- Generalized fractional differential equations -- Appendix
Control code
on1106159925
Dimensions
unknown
Extent
1 online resource (xvi, 525 p.).
File format
multiple file formats
Form of item
online
Isbn
9783030033767
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1106159925
Label
Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Analysis on measures and functional spaces -- Basic ODEs in complete locally convex spaces -- Discrete kinetic systems -- Linear evolutionary equations: foundations -- Linear evolutionary equations: advanced theory -- Method of propagators for nonlinear equations.-Equations in the spaces of weighted measures -- Generalized fractional differential equations -- Appendix
Control code
on1106159925
Dimensions
unknown
Extent
1 online resource (xvi, 525 p.).
File format
multiple file formats
Form of item
online
Isbn
9783030033767
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1106159925

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