Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations

Abstract

We study asymptotics of eigenvalues, eigenfunctions and norming constants of singular energy-dependent Sturm--Liouville equations with complex-valued potentials. The analysis essentially exploits the integral representation of solutions, which we derive using the connection of the problem under study and a Dirac system of a special form.

References in corpus (3)

• Inverse spectral problems for Dirac operators with summable potentials
• Inverse spectral problems for energy-dependent Sturm-Liouville equations
• Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials

Cited by in corpus (1)

• Inverse spectral problems for energy-dependent Sturm-Liouville equations