2016  Book
An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
About this book
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 firstorder (complex) factors, as well as a recent generalization of this result to the case of complexvalued coefficients.
 Title
 An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
 Print ISBN
 9783319496665
 Electronic ISBN
 9783319496672
 Copyright Year
 2016
 DOI

https://doi.org/10.1007/9783319496672
 Author:

Roberto Camporesi