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

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization by Roberto Camporesi, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Roberto Camporesi ISBN: 9783319496672
Publisher: Springer International Publishing Publication: December 8, 2016
Imprint: Springer Language: English
Author: Roberto Camporesi
ISBN: 9783319496672
Publisher: Springer International Publishing
Publication: December 8, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Provable Security by Roberto Camporesi
Cover of the book Logic in the Theory and Practice of Lawmaking by Roberto Camporesi
Cover of the book American League Franchises by Roberto Camporesi
Cover of the book The Parameterization Method for Invariant Manifolds by Roberto Camporesi
Cover of the book Practical Approaches to Causal Relationship Exploration by Roberto Camporesi
Cover of the book How Crises Shaped Economic Ideas and Policies by Roberto Camporesi
Cover of the book Sensor Systems and Software by Roberto Camporesi
Cover of the book China, Hong Kong, and the Long 1970s: Global Perspectives by Roberto Camporesi
Cover of the book Collaboration Technologies and Social Computing by Roberto Camporesi
Cover of the book The Large Scale Structures by Roberto Camporesi
Cover of the book Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9 by Roberto Camporesi
Cover of the book New Solutions for the Space Debris Problem by Roberto Camporesi
Cover of the book Transmitting and Gaining Data by Roberto Camporesi
Cover of the book Beneficial Plant-Bacterial Interactions by Roberto Camporesi
Cover of the book Mussolini and the Salò Republic, 1943–1945 by Roberto Camporesi
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy