Asymptotic of eigenvalues of differential operator with alternating weight function

S. I. Mitrokhin

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2018), pp. 31-47.

Résumé

We study a differential operator of the sixth order with alternating weight function. The potential of the operator has a first-order discontinuity at some point of a segment on which the operator is considered. The boundary conditions are separated. We study the asymptotics of solutions to corresponding differential equations and find the asymptotic behavior of the eigenvalues of the considered differential operator.

Détail

Keywords: differential operator, separated boundary conditions, alternating weight function, indicator diagram, asymptotic behavior of eigenvalues.

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