An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization

Lieferzeit: Lieferbar innerhalb 14 Tagen

53,49 

PoliTO Springer Series

ISBN: 3319496662
ISBN 13: 9783319496665
Autor: Camporesi, Roberto
Verlag: Springer Verlag GmbH
Umfang: vii, 120 S., 1 s/w Illustr., 120 p. 1 illus.
Erscheinungsdatum: 16.12.2016
Auflage: 1/2017
Produktform: Gebunden/Hardback
Einband: Gebunden

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.

Artikelnummer: 9980837 Kategorie:

Beschreibung

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. In the case of constant coefficients the approach is elementary. The case of variable coefficients is dealt using the result of Mammana about the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalizationof this result to the case of complex-valued coefficients.The work is addressed to graduate students in Mathematics, Physics and Engineering. The chapter on constant coefficients can be used in a first course on differential equations.

Autorenporträt

Roberto Camporesi is currently Associate Professor of Mathematical Analysis at the Politecnico di Torino. He received his Ph.D. in Physics at the University of Maryland, College Park in 1991. He was a post-doctoral fellow at the University of Alberta, Edmonton, Canada. His research interests include geometry and harmonic analysis on Damek-Ricci spaces, harmonic analysis for homogeneous vector bundles (in particular, spinor fields) on symmetric spaces and representation theory of semisimple Lie groups.

Herstellerkennzeichnung:


Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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