The Resource Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov
Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov
Resource Information
The item Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xvi, 525 p.).
- 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
- Isbn
- 9783030033767
- Label
- Differential Equations on Measures and Functional Spaces
- Title
- Differential Equations on Measures and Functional Spaces
- Statement of responsibility
- by Vassili Kolokoltsov
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Differential-Equations-on-Measures-and-Functional/gqDo_0o7R88/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Differential-Equations-on-Measures-and-Functional/gqDo_0o7R88/">Differential Equations on Measures and Functional Spaces, by Vassili Kolokoltsov</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>