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

Namig Guliyev (1)

1 Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

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 spectra. Necessary and sufficient conditions for the solvability of these inverse problems are obtained.

Mots clés: Sturm–Liouville equation; inverse problem

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]; Analyse fonctionnelle [math.FA]; Analyse classique [math.CA]

Namig Guliyev. Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions. Inverse Problems, 2005, 21 (4), pp.1315-1330. ⟨10.1088/0266-5611/21/4/008⟩. ⟨hal-01704858⟩