rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Inverse spectral problems for linear differential operators and their applications
  title info:
    title: MATHnetBASE
  name:
    name part: Yurko, V. A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2014
    copyright date: 2000
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (272 pages).
  abstract: Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the spectrum is arbitrary. The Weyl matrix is introduced and studied as a spectral characteristic. The second part of the book is devoted to solving incomplete inverse problems when a priori information about the operator or its spectrum is available and these problems are significant in applications.
  table of contents: chapter 1 Formulation of the inverse problem. A uniqueness theorem -- chapter 2 Solution of the inverse problem on the half-line -- chapter 3 Differential operators with a simple spectrum -- chapter 4 Solution of the inverse problem on a finite interval -- chapter 5 Inverse problems for the self-adjoint case -- chapter 6 Differential operators with singularities -- chapter 7 Differential operators with a "separate" spectrum -- chapter 8 Stability of the solution of the inverse problem -- chapter 9 Method of standard models. Information condition -- chapter 10 An inverse problem of elasticity theory -- chapter 11 Differential operators with locally integrable coefficients -- chapter 12 Discrete inverse problems. Applications to differential operators -- chapter 13 Inverse problems for integro-differential operators.
  note: by V A Yurko.
  subject:
    topic: Differential operators
  subject:
    topic: Spectral theory (Mathematics)
  classification: QA329.4
  classification: 515/.7242
  related item:
    title info:
      title: Analytical methods and special functions
  identifier: 9781482287431
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 180611
    record change date: 20220613175811.2
    record identifier: in00004581085