東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Differential equations on measures a...

Kolokoltsov, Vassili.

FindBook

Google Book

Amazon

博客來

Differential equations on measures and functional spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential equations on measures and functional spaces/ by Vassili Kolokoltsov.
作者:	Kolokoltsov, Vassili.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xvi, 525 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-03377-4
ISBN:	9783030033774

Differential equations on measures and functional spaces
Kolokoltsov, Vassili.

Differential equations on measures and functional spaces[electronic resource] /by Vassili Kolokoltsov. - Cham :Springer International Publishing :2019. - xvi, 525 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler lehrbucher,1019-6242. - Birkhauser advanced texts basler lehrbucher..

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.

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.

ISBN: 9783030033774

Standard No.: 10.1007/978-3-030-03377-4doiSubjects--Topical Terms:

517952
Differential equations.

LC Class. No.: QA371 / .K65 2019

Dewey Class. No.: 515.352

Differential equations on measures and functional spaces
LDR:02993nmm a2200337 a 4500 001 2192313
003 DE-He213
005 20190620074211.0
006 m d
007 cr nn 008maaau
008 200506s2019 gw s 0 eng d
020 $a 9783030033774 $q (electronic bk.)
020 $a 9783030033767 $q (paper)
024 7 $a 10.1007/978-3-030-03377-4 $2 doi
035 $a 978-3-030-03377-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371 $b .K65 2019
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.352 $2 23
090 $a QA371 $b .K81 2019
100 1 $a Kolokoltsov, Vassili. $3 3412522
245 1 0 $a Differential equations on measures and functional spaces $h [electronic resource] / $c by Vassili Kolokoltsov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a xvi, 525 p. : $b ill., digital ; $c 24 cm.
490 1 $a Birkhauser advanced texts basler lehrbucher, $x 1019-6242
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations. $3 517952
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Operator theory. $3 542531
650 0 $a Mathematics. $3 515831
650 1 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Game Theory, Economics, Social and Behav. Sciences. $3 891103
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Birkhauser advanced texts basler lehrbucher. $3 3135333
856 4 0 $u https://doi.org/10.1007/978-3-030-03377-4
950 $a Mathematics and Statistics (Springer-11649)