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＜電子ブック＞
An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization / by Roberto Camporesi
(PoliTO Springer Series. ISSN:25097024)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	VII, 120 p. 1 illus : online resource
著者標目	*Camporesi, Roberto author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Algebras, Linear FREE:Differential Equations FREE:Calculus of Variations and Optimization FREE:Linear Algebra
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-49667-2

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