On the Spectral Properties of a Fourth-Order Self-Adjoint Operator

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Abstract

We consider a spectral problem for a fourth-order differential operator with real periodic coefficients and Neumann-type boundary conditions. For this operator, the eigenvalue asymptotics and a regularized trace formula are obtained.

About the authors

D. M Polyakov

Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362025, Russia

Author for correspondence.
Email: DmitryPolyakow@mail.ru
г. Владикавказ, Россия

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