Abstract
This article considers a self-adjoint fourth-order differential operator on the unit interval with real 1-periodic coefficients whose domain is defined by Neumann–Dirichlet boundary conditions. The asymptotics of eigenvalues at high energies is derived for the above operator.
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Funding
This work was partially supported by the grant MK-160.2022.1.1 of the President of Russian Federation for young candidates of sciences.
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Short communication presented by A.M. Bikchentaev
Translated by O. Pismenov
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Polyakov, D.M. Spectral Estimates for the Fourth-Order Differential Operator with Periodic Coefficients. Russ Math. 66, 76–81 (2022). https://doi.org/10.3103/S1066369X22070064
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DOI: https://doi.org/10.3103/S1066369X22070064