Sturm-Liouville operators and applications. Revised ed. of the 1986 ed. (English) Zbl 1298.34001
Providence, RI: AMS Chelsea Publishing (ISBN 978-0-8218-5316-0/hbk). xiii, 393 p. (2011).
This book is the revised edition of the classical monograph published in 1986.
The main goal of the book is to study inverse spectral problems for Sturm-Liouville operators using the transformation operator method. The book reflects results obtained before 1975.
Modern results and methods in the inverse problem theory are reflected in the monographs [R. Beals, P. Deift and C. Tomei, Direct and inverse scattering on the line. Mathematical Surveys and Monographs, 28. Providence, RI: American Mathematical Society (AMS) (1988; Zbl 0679.34018)], [G. Freiling and V. Yurko, Inverse Sturm-Liouville problems and their applications. Huntington, NY: Nova Science Publishers (2001; Zbl 1037.34005)], and [V. Yurko, Method of spectral mappings in the inverse problem theory. Inverse and Ill-Posed Problems Series. Utrecht: VSP (2002; Zbl 1098.34008)], and a number of review articles.
The main goal of the book is to study inverse spectral problems for Sturm-Liouville operators using the transformation operator method. The book reflects results obtained before 1975.
Modern results and methods in the inverse problem theory are reflected in the monographs [R. Beals, P. Deift and C. Tomei, Direct and inverse scattering on the line. Mathematical Surveys and Monographs, 28. Providence, RI: American Mathematical Society (AMS) (1988; Zbl 0679.34018)], [G. Freiling and V. Yurko, Inverse Sturm-Liouville problems and their applications. Huntington, NY: Nova Science Publishers (2001; Zbl 1037.34005)], and [V. Yurko, Method of spectral mappings in the inverse problem theory. Inverse and Ill-Posed Problems Series. Utrecht: VSP (2002; Zbl 1098.34008)], and a number of review articles.
Reviewer: Vjacheslav Yurko (Saratov)
MSC:
| 34-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations |
| 34A55 | Inverse problems involving ordinary differential equations |
| 47E05 | General theory of ordinary differential operators |
| 34L05 | General spectral theory of ordinary differential operators |
| 34B24 | Sturm-Liouville theory |
| 34L25 | Scattering theory, inverse scattering involving ordinary differential operators |
