This article is cited in 8 papers

Differential properties of zeros of eigenfunctions of the Sturm–Liouville problem

A. Yu. Trynin

Saratov State University, Saratov, Russia

Abstract: Differential relations for functionals that set the $k$-th zero of the $n$-th eigenfunction in correspondence with the summable potential $q$ of the Sturm–Liouville problem are obtained in terms of the Gato differentials.

Keywords: differential properties, eigenfunction, Sturm–Liouville problem.

UDC: 517.927

Received: 11.07.2011

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