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Set-valued stochastic integrals and ...

Kisielewicz, Michal.

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Set-valued stochastic integrals and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Set-valued stochastic integrals and applications/ by Michal Kisielewicz.
Author:	Kisielewicz, Michal.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xii, 281 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- List of Symbols -- 1. Preliminaries -- 2. Multifunctions -- 3. Decomposable Subsets of the Space Lp(T,F,Mu, X) -- 4. Aumann Stochastic Integrals -- 5. Set-Valued Ito Integrals -- 6. Stochastic Differential Inclusions -- 7. Set-Valued Stochastic Differential Equations and Inclusions -- 8. Stochastic Optimal Control Problems -- 9. Mathematical Finance Problems -- References -- Index.
Contained By:	Springer eBooks
Subject:	Stochastic differential equations. -
Online resource:	https://doi.org/10.1007/978-3-030-40329-4
ISBN:	9783030403294

Set-valued stochastic integrals and applications
Kisielewicz, Michal.

Set-valued stochastic integrals and applications[electronic resource] /by Michal Kisielewicz. - Cham :Springer International Publishing :2020. - xii, 281 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1571931-6828 ;. - Springer optimization and its applications ;v.157..

Preface -- List of Symbols -- 1. Preliminaries -- 2. Multifunctions -- 3. Decomposable Subsets of the Space Lp(T,F,Mu, X) -- 4. Aumann Stochastic Integrals -- 5. Set-Valued Ito Integrals -- 6. Stochastic Differential Inclusions -- 7. Set-Valued Stochastic Differential Equations and Inclusions -- 8. Stochastic Optimal Control Problems -- 9. Mathematical Finance Problems -- References -- Index.

This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries of mathematical methods that are then applied in later chapters containing the main results and some of their applications, and contains many new problems. Methods applied in the book are mainly based on functional analysis, theory of probability processes, and theory of set-valued mappings. The volume will appeal to students of mathematics, economics, and engineering, as well as to mathematics professionals interested in applications of the theory of set-valued stochastic integrals.

ISBN: 9783030403294

Standard No.: 10.1007/978-3-030-40329-4doiSubjects--Topical Terms:

621860
Stochastic differential equations.

LC Class. No.: QA274.23 / .K575 2020

Dewey Class. No.: 519.22

Set-valued stochastic integrals and applications
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100 1 $a Kisielewicz, Michal. $3 3459399
245 1 0 $a Set-valued stochastic integrals and applications $h [electronic resource] / $c by Michal Kisielewicz.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xii, 281 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer optimization and its applications, $x 1931-6828 ; $v v.157
505 0 $a Preface -- List of Symbols -- 1. Preliminaries -- 2. Multifunctions -- 3. Decomposable Subsets of the Space Lp(T,F,Mu, X) -- 4. Aumann Stochastic Integrals -- 5. Set-Valued Ito Integrals -- 6. Stochastic Differential Inclusions -- 7. Set-Valued Stochastic Differential Equations and Inclusions -- 8. Stochastic Optimal Control Problems -- 9. Mathematical Finance Problems -- References -- Index.
520 $a This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries of mathematical methods that are then applied in later chapters containing the main results and some of their applications, and contains many new problems. Methods applied in the book are mainly based on functional analysis, theory of probability processes, and theory of set-valued mappings. The volume will appeal to students of mathematics, economics, and engineering, as well as to mathematics professionals interested in applications of the theory of set-valued stochastic integrals.
650 0 $a Stochastic differential equations. $3 621860
650 1 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Measure and Integration. $3 891263
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830 0 $a Springer optimization and its applications ; $v v.157. $3 3459400
856 4 0 $u https://doi.org/10.1007/978-3-030-40329-4
950 $a Mathematics and Statistics (Springer-11649)