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

Libro 4 de 14: PoliTO Springer

Camporesi, Roberto

 
9783319842103: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series)
Tapa blanda
ISBN 10: 3319842102 ISBN 13: 9783319842103
Editorial: Springer, 2018

Sinopsis

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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Acerca del 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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319842102
ISBN 13 
9783319842103
Encuadernación
Tapa blanda
Número de páginas
128
Contacto del fabricante
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Alemania

Otras ediciones populares con el mismo título

9783319496665: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series)

Edición Destacada

ISBN 10:  3319496662 ISBN 13:  9783319496665
Editorial: Springer, 2016
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