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

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.

preprint2013arXivOpen access
Nataliya Pronska
math.FAmath.SP
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Nataliya Pronska

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