The regularized trace formula for the Sturm–Liouville equation with spectral parameter in the boundary conditions

Namig Guliyev (1)

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

The regularized trace formula of first order for the Sturm–Liouville equation with spectral parameter in the boundary conditions is obtained.

Mots clés: regularized trace; Sturm–Liouville equation

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

Namig Guliyev. The regularized trace formula for the Sturm–Liouville equation with spectral parameter in the boundary conditions. Proceedings of the Institute of Mathematics and Mechanics, 2005, 22, pp.99-102. ⟨hal-01699784⟩