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Differential equations

Barbu, Viorel.

Differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential equationsby Viorel Barbu.
Author:	Barbu, Viorel.
Published:	Cham :Springer International Publishing :2016.
Description:	xi, 224 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-45261-6
ISBN:	9783319452616$q(electronic bk.)

Differential equations
Barbu, Viorel.

Differential equations[electronic resource] /by Viorel Barbu. - Cham :Springer International Publishing :2016. - xi, 224 p. :ill., digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations.

This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.

ISBN: 9783319452616$q(electronic bk.)

Standard No.: 10.1007/978-3-319-45261-6doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA372 / .B297 2016

Dewey Class. No.: 515.352

Differential equations
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100 1 $a Barbu, Viorel. $3 485848
245 1 0 $a Differential equations $h [electronic resource] / $c by Viorel Barbu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xi, 224 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 1615-2085
505 0 $a Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations.
520 $a This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.
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650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Partial Differential Equations. $3 274075
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