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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An introduction to linear ordinary differential equations using the impulsive response method and factorization/ by 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

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

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

528154
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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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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