Description

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.

Inverse Spectral Problems for Linear Differential Operators and Their Applications

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Hardback by V A Yurko

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Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on... Read more

    Publisher: Taylor & Francis Inc
    Publication Date: 18/01/2000
    ISBN13: 9789056991890, 978-9056991890
    ISBN10: 9056991892

    Number of Pages: 272

    Non Fiction , Mathematics & Science , Education

    Description

    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.

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