Direct and inverse Sturm-Liouville problems [Documento eletrónico] : a method of solution / Vladislav V. Kravchenko
Language: eng.Country: Switzerland, Swiss Confederation, Cham.Publication: Cham : Springer International Publishing, Birkhäuser, 2020Description: XI, 154 p. : il.ISBN: 978-3-030-47849-0.Series: Frontiers in MathematicsSubject - Topical Name: Equações diferenciais | Equações de Sturm-Liouville Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA371.SPR FCT 103716 (Browse shelf(Opens below)) | 1 | Available | 96429 |
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.
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