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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[electronic resource] /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	515.354
タイトル / 著者:	An introduction to linear ordinary differential equations using the impulsive response method and factorization/ by Roberto Camporesi.
著者:	Camporesi, Roberto.
出版された:	Cham : : Springer International Publishing :, 2016.
記述:	vii, 120 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Differential equations, Linear.
主題:	Mathematics.
主題:	Matrix theory.
主題:	Algebra.
主題:	Differential equations.
主題:	Calculus of variations.
主題:	Ordinary Differential Equations.
主題:	Calculus of Variations and Optimal Control; Optimization.
主題:	Linear and Multilinear Algebras, Matrix Theory.
国際標準図書番号 (ISBN) :	9783319496672
国際標準図書番号 (ISBN) :	9783319496665
[NT 15000228] null:	1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.
[NT 15000229] null:	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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245 1 3 $a An introduction to linear ordinary differential equations using the impulsive response method and factorization $h [electronic resource] / $c by Roberto Camporesi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a vii, 120 p. : $b ill., digital ; $c 24 cm.
490 1 $a PoliTO Springer series, $x 2509-6796
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.
650 0 $a Differential equations, Linear. $3 469164
650 0 $a Mathematics. $3 172349
650 0 $a Matrix theory. $3 614891
650 0 $a Algebra. $3 189734
650 0 $a Differential equations. $3 189741
650 0 $a Calculus of variations. $3 380578
650 2 4 $a Ordinary Differential Equations. $3 465742
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 464715
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 464949
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a PoliTO Springer series. $3 688394
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-49667-2
950 $a Mathematics and Statistics (Springer-11649)

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http://dx.doi.org/10.1007/978-3-319-49667-2

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