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Linear differential equations in the...

Haraoka, Yoshishige.

Linear differential equations in the complex domainfrom classical theory to forefront /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear differential equations in the complex domainby Yoshishige Haraoka.
Reminder of title:	from classical theory to forefront /
Author:	Haraoka, Yoshishige.
Published:	Cham :Springer International Publishing :2020.
Description:	xiii, 396 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Linear.
Online resource:	https://doi.org/10.1007/978-3-030-54663-2
ISBN:	9783030546632$q(electronic bk.)

Linear differential equations in the complex domainfrom classical theory to forefront /
Haraoka, Yoshishige.

Linear differential equations in the complex domainfrom classical theory to forefront /[electronic resource] :by Yoshishige Haraoka. - Cham :Springer International Publishing :2020. - xiii, 396 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22710075-8434 ;. - Lecture notes in mathematics ;2035..

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations.

ISBN: 9783030546632$q(electronic bk.)

Standard No.: 10.1007/978-3-030-54663-2doiSubjects--Topical Terms:

185864
Differential equations, Linear.

LC Class. No.: QA372 / .H37 2020

Dewey Class. No.: 515.354

Linear differential equations in the complex domainfrom classical theory to forefront /
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245 1 0 $a Linear differential equations in the complex domain $h [electronic resource] : $b from classical theory to forefront / $c by Yoshishige Haraoka.
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520 $a This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations.
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