An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series) - Hardcover

Buch 4 von 14: PoliTO Springer

Camporesi, Roberto

 
9783319496665: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series)
Hardcover
ISBN 10: 3319496662 ISBN 13: 9783319496665
Verlag: Springer, 2016

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319496662
ISBN 13 
9783319496665
Einband
Tapa dura
Anzahl der Seiten
130
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9783319842103: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series)

Vorgestellte Ausgabe

ISBN 10:  3319842102 ISBN 13:  9783319842103
Verlag: Springer, 2018
Softcover