Inverse Sturm Liouville Problems
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Inverse Sturm Liouville Problems
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Author : B. M. Levitan
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-07-12
Inverse Sturm Liouville Problems written by B. M. Levitan and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Mathematics categories.
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Inverse Sturm Liouville Problems And Their Applications
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Author : G. Freiling
language : en
Publisher: Nova Biomedical Books
Release Date : 2001
Inverse Sturm Liouville Problems And Their Applications written by G. Freiling and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book presents the main results and methods on inverse spectral problems for Sturm-Liouville differential operators and their applications. Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural sciences. Inverse problems also play an important role in solving non-linear evolution equations in mathematical physics. Interest in this subject has been increasing permanently because of the appearance of new important applications, resulting in intensive study of inverse problem theory all over the world.
Direct And Inverse Sturm Liouville Problems
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Author : Vladislav V. Kravchenko
language : en
Publisher: Springer Nature
Release Date : 2020-07-28
Direct And Inverse Sturm Liouville Problems written by Vladislav V. Kravchenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-28 with Mathematics categories.
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.
Sturm Liouville Theory
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Author : Werner O. Amrein
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-19
Sturm Liouville Theory written by Werner O. Amrein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-19 with Mathematics categories.
This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.
Inverse Sturm Liouville Problems
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Author : Boris Moiseevich Levitan
language : en
Publisher:
Release Date : 1998
Inverse Sturm Liouville Problems written by Boris Moiseevich Levitan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Sturm Liouville Operators And Applications
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Author : Vladimir Aleksandrovich Marchenko
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-04-27
Sturm Liouville Operators And Applications written by Vladimir Aleksandrovich Marchenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-27 with Mathematics categories.
The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. This book aims to show what can be achieved with the aid of transformation operators in spectral theory as well as their applications.
Direct And Inverse Sturm Liouville Problems Of Order Four
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Author : Amornrat Rattana
language : en
Publisher:
Release Date : 2013
Direct And Inverse Sturm Liouville Problems Of Order Four written by Amornrat Rattana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Sturm Liouville Theory
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Author : Anton Zettl
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Sturm Liouville Theory written by Anton Zettl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples.
Inverse Problems In Vibration
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Author : G.M.L. Gladwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-10
Inverse Problems In Vibration written by G.M.L. Gladwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-10 with Technology & Engineering categories.
In the first, 1986, edition of this book, inverse problems in vibration were interpreted strictly: problems concerning the reconstruction of a unique, undamped vibrating system, of a specified type, from specified vibratory behaviour, particularly specified natural frequencies and/or natural mode shapes. In this new edition the scope of the book has been widened to include topics such as isospectral systems- families of systems which all exhibit some specified behaviour; applications of the concept of Toda flow; new, non-classical approaches to inverse Sturm-Liouville problems; qualitative properties of the modes of some finite element models; damage identification. With its emphasis on analysis, on qualitative results, rather than on computation, the book will appeal to researchers in vibration theory, matrix analysis, differential and integral equations, matrix analysis, non-destructive testing, modal analysis, vibration isolation, etc. "This book is a necessary addition to the library of engineers and mathematicians working in vibration theory." Mathematical Reviews
Inverse Spectral Theory
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Author : Jürgen Pöschel
language : en
Publisher:
Release Date : 1987
Inverse Spectral Theory written by Jürgen Pöschel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.