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An introduction to linear ordinary d...

Camporesi, Roberto.

An introduction to linear ordinary differential equations using the impulsive response method and factorization

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to linear ordinary differential equations using the impulsive response method and factorizationby Roberto Camporesi.
Author:	Camporesi, Roberto.
Published:	Cham :Springer International Publishing :2016.
Description:	vii, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Linear.
Online resource:	http://dx.doi.org/10.1007/978-3-319-49667-2
ISBN:	9783319496672$q(electronic bk.)

An introduction to linear ordinary differential equations using the impulsive response method and factorization
Camporesi, Roberto.

An introduction to linear ordinary differential equations using the impulsive response method and factorization[electronic resource] /by Roberto Camporesi. - Cham :Springer International Publishing :2016. - vii, 120 p. :ill., digital ;24 cm. - PoliTO Springer series,2509-6796. - PoliTO Springer series..

1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana's result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.

ISBN: 9783319496672$q(electronic bk.)

Standard No.: 10.1007/978-3-319-49667-2doiSubjects--Topical Terms:

185864
Differential equations, Linear.

LC Class. No.: QA372

Dewey Class. No.: 515.354

An introduction to linear ordinary differential equations using the impulsive response method and factorization
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245 1 3 $a An introduction to linear ordinary differential equations using the impulsive response method and factorization $h [electronic resource] / $c by Roberto Camporesi.
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490 1 $a PoliTO Springer series, $x 2509-6796
505 0 $a 1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.
520 $a This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana's result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.
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650 0 $a Differential equations. $3 183925
650 0 $a Calculus of variations. $3 191127
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
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