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An introduction to linear ordinary d...

Camporesi, Roberto.

An introduction to linear ordinary differential equations using the impulsive response method and factorization

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to linear ordinary differential equations using the impulsive response method and factorizationby 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-49667-2
ISBN:	9783319496672$q(electronic bk.)

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. - 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$q(electronic bk.)

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

185864
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
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505 0 $a 1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.
520 $a 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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