Recovering the characteristic functions of the Sturm-Liouville differential operators with singular potentials on star-type graph with cycle

Abstract

We consider Sturm-Liouville operators with singular potentials from the class on star-type graph with cycle, which consist the edges with commensurable lengths. Asymptotic representation for eigenvalues for such operators is obtained. Recovering of the characteristic function the Sturm-Liouville operators with the singular potentials is considered.

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