Sturm-Liouville Theory and its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sturm-Liouville Theory and its Applications write by Mohammed Al-Gwaiz. This book was released on 2008-01-15. Sturm-Liouville Theory and its Applications available in PDF, EPUB and Kindle. Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
Sturm-Liouville Theory
Sturm-Liouville Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sturm-Liouville Theory write by Anton Zettl. This book was released on 2005. Sturm-Liouville Theory available in PDF, EPUB and Kindle. 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.
Sturm-Liouville Theory
Sturm-Liouville Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sturm-Liouville Theory write by Werner O. Amrein. This book was released on 2005-12-05. Sturm-Liouville Theory available in PDF, EPUB and Kindle. 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.
Multiparameter Eigenvalue Problems
Multiparameter Eigenvalue Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiparameter Eigenvalue Problems write by F.V. Atkinson. This book was released on 2010-12-07. Multiparameter Eigenvalue Problems available in PDF, EPUB and Kindle. One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem
Theory of a Higher-Order Sturm-Liouville Equation
Theory of a Higher-Order Sturm-Liouville Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of a Higher-Order Sturm-Liouville Equation write by Vladimir Kozlov. This book was released on 2006-11-13. Theory of a Higher-Order Sturm-Liouville Equation available in PDF, EPUB and Kindle. This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.
