Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions

Article, Preprint English OPEN
Guliyev , Namig;
(2005)
  • Publisher: IOP Publishing
  • Related identifiers: doi: 10.1088/0266-5611/21/4/008, doi: 10.5281/zenodo.873404
  • Subject: inverse problem | Sturm–Liouville equation | [ MATH.MATH-FA ] Mathematics [math]/Functional Analysis [math.FA] | Mathematics - Spectral Theory | Mathematics - Classical Analysis and ODEs | [ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA] | 34A55 (Primary) 34B05, 34B24, 34L10, 34L20, 34L40, 47A70, 47A75, 47E05 (Secondary) | Spectral theory of differential operators | [ MATH.MATH-SP ] Mathematics [math]/Spectral Theory [math.SP] | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]
    arxiv: Mathematics::Spectral Theory

International audience; Inverse problems of recovering the coefficients of Sturm–Liouville problems with the eigenvalue parameter linearly contained in one of the boundary conditions are studied: 1) from the sequences of eigenvalues and norming constants; 2) from two sp... View more
  • References (23)
    23 references, page 1 of 3

    [3] Ben Amara Zh and Shkalikov A A 1999 The Sturm-Liouville problem with physical and spectral parameters in the boundary condition Math. Notes 66 127-34

    [4] Binding P 2003 A hierarchy of Sturm-Liouville problems Math. Methods Appl. Sci. 26 349-57

    [5] Binding P A and Browne P J 1995 Application of two parameter eigencurves to Sturm-Liouville problems with eigenparameter-dependent boundary conditions Proc. Roy. Soc. Edinburgh Sect. A 125 1205-18

    [6] Binding P A and Browne P J 1997 Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions Proc. Roy. Soc. Edinburgh Sect. A 127 1123-36

    [7] Binding P A, Browne P J and Seddighi K 1993 Sturm-Liouville problems with eigenparameter dependent boundary conditions Proc. Edinburgh Math. Soc. (2) 37 57-72

    [8] Binding P A, Browne P J and Watson B A 2000 Inverse spectral problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions J. London Math. Soc. (2) 62 161-82

    [9] Binding P A, Browne P J and Watson B A 2001 Transformations between Sturm-Liouville problems with eigenvalue dependent and independent boundary conditions Bull. London Math. Soc. 33 749-57

    [10] Browne P J and Sleeman B D 1997 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems Inverse Problems 13 1453-62

    [11] Fulton C T 1977 Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions Proc. Roy. Soc. Edinburgh Sect. A 77 293-308

    [12] Fulton C T 1980 Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions Proc. Roy. Soc. Edinburgh Sect. A 87 1-34

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