Inverse problems for the Sturm–Liouville equation with a spectral parameter in the boundary condition

Обратные задачи для уравнения Штурма–Лиувилля со спектральным параметром в краевом условии

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: inverse problem; Sturm–Liouville equation

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

Namig Guliyev. Обратные задачи для уравнения Штурма–Лиувилля со спектральным параметром в краевом условии. Dokl. Nats. Akad. Nauk Azerb., 2004, 60 (3-4), pp.10-16. ⟨hal-01709345⟩