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.
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页码：76 / 81
页数：6
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