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OverviewThis 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. Full Product DetailsAuthor: Roberto CamporesiPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2016 Dimensions: Width: 15.50cm , Height: 0.70cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783319842103ISBN 10: 3319842102 Pages: 120 Publication Date: 30 April 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1 Introduction.- 2 The case of constant coefficients.- 3 The case of variable coefficients. - 4 ConclusionsReviewsIn this monograph the author presents the impulse response method for solving linear ordinary differential equations ... . The book is well organized and well written. I recommend it to anyone interested in differential equations, not only the teachers and students in a first course on this subject. (Anton Zettl, Mathematical Reviews, August, 2017) “In this monograph the author presents the impulse response method for solving linear ordinary differential equations … . The book is well organized and well written. I recommend it to anyone interested in differential equations, not only the teachers and students in a first course on this subject.” (Anton Zettl, Mathematical Reviews, August, 2017) Author InformationRoberto Camporesi is currently Associate Professor of Mathematical Analysis at the Politecnico di Torino. He received his Ph.D. in Physics at the University of Maryland, College Park in 1991. He was a post-doctoral fellow at the University of Alberta, Edmonton, Canada. His research interests include geometry and harmonic analysis on Damek-Ricci spaces, harmonic analysis for homogeneous vector bundles (in particular, spinor fields) on symmetric spaces and representation theory of semisimple Lie groups. Tab Content 6Author Website:Countries AvailableAll regions |
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