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

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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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Detail Information

Series Title

PoliTO Springer Series

Call Number

515.3 CAM i

Publisher

Cham, Switzerland : Springer Cham., 2016

Collation

VII, 120

Language

English

ISBN/ISSN

978-3-319-49667-2

Classification

515.3

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Differential equations
Linear Algebra
Calculus of Variations and Optimization

Specific Detail Info

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Statement of Responsibility

Roberto Camporesi

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-49667-2.pdf?pdf=button

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