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An introduction to linear ordinary differential equations using the impulsive response method and factorization[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.354
書名/作者:	An introduction to linear ordinary differential equations using the impulsive response method and factorization/ by Roberto Camporesi.
作者:	Camporesi, Roberto.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	vii, 120 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Linear.
標題:	Mathematics.
標題:	Matrix theory.
標題:	Algebra.
標題:	Differential equations.
標題:	Calculus of variations.
標題:	Ordinary Differential Equations.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Linear and Multilinear Algebras, Matrix Theory.
ISBN:	9783319496672
ISBN:	9783319496665
內容註:	1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-49667-2

An introduction to linear ordinary differential equations using the impulsive response method and factorization[electronic resource] /
Camporesi, Roberto.

An introduction to linear ordinary differential equations using the impulsive response method and factorization[electronic resource] /by Roberto Camporesi. - Cham :Springer International Publishing :2016. - vii, 120 p. :ill., digital ;24 cm. - PoliTO Springer series,2509-6796. - PoliTO Springer series..

1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.

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:

469164
Differential equations, Linear.

LC Class. No.: QA372

Dewey Class. No.: 515.354

An introduction to linear ordinary differential equations using the impulsive response method and factorization[electronic resource] /
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