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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization/ by Roberto Camporesi.
作者:	Camporesi, Roberto.
面頁冊數:	VII, 120 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-49667-2
ISBN:	9783319496672

An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
Camporesi, Roberto.

An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization[electronic resource] /by Roberto Camporesi. - 1st ed. 2016. - VII, 120 p. 1 illus.online resource. - PoliTO Springer Series,2509-6796. - PoliTO Springer Series,.

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.

ISBN: 9783319496672

Standard No.: 10.1007/978-3-319-49667-2doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

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