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Author:
Publisher: Elsevier
ISBN: 9780080871486
Category : Mathematics
Languages : en
Pages : 244
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Book Description
Transmutation and Operator Differential Equations
Author:
Publisher: Elsevier
ISBN: 9780080871486
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
Transmutation and Operator Differential Equations
Author: Robert Wayne Carroll
Publisher: Elsevier Science Limited
ISBN: 9780444853288
Category : Mathematics
Languages : en
Pages : 245
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Book Description
Author: Vladislav V. Kravchenko
Publisher: Springer Nature
ISBN: 303035914X
Category : Mathematics
Languages : en
Pages : 685
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Book Description
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
Author: R. Carroll
Publisher: Elsevier
ISBN: 9780080871806
Category : Science
Languages : en
Pages : 456
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Book Description
Transmutation, Scattering Theory and Special Functions
Author: R. Carroll
Publisher: Elsevier
ISBN: 9780080872285
Category : Science
Languages : en
Pages : 350
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Book Description
Transmutation Theory and Applications
Author: K. Trimèche
Publisher: CRC Press
ISBN: 9783718648221
Category : Mathematics
Languages : en
Pages : 300
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Book Description
Author: Elina Shishkina
Publisher: Academic Press
ISBN: 0128204079
Category : Mathematics
Languages : en
Pages : 594
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Book Description
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details Enables researchers, lecturers and students to find material under the single "roof"
Author: Yuri I. Karlovich
Publisher: Springer Science & Business Media
ISBN: 3034805373
Category : Mathematics
Languages : en
Pages : 425
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Book Description
This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.
Author: Vladislav V. Kravchenko
Publisher: Springer Nature
ISBN: 3030478491
Category : Mathematics
Languages : en
Pages : 155
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Book Description
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.
Author: H Begehr
Publisher: CRC Press
ISBN: 9780582091092
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.
