Spectral Estimates for the Fourth-Order Differential Operator with Periodic Coefficients

被引：0

作者：

Polyakov, D. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Southern Math Inst, Vladikavkaz Sci Ctr, Vladikavkaz 362025, Russia

来源：

RUSSIAN MATHEMATICS | 2022年 / 66卷 / 07期

关键词：

spectrum; fourth-order differential operator; asymptotics of eigenvalues; fundamental matrix; THIN-FILM;

D O I：

10.3103/S1066369X22070064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：76 / 81

页数：6

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