SPECTRAL ANALYSIS OF A FOURTH ORDER DIFFERENTIAL OPERATOR WITH PERIODIC AND ANTIPERIODIC BOUNDARY CONDITIONS

被引：17

作者：

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

机构：

[1] Voronezh State Univ, Inst Math, Univ Skaya Pl 1, Voronezh 394006, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2016年 / 27卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

Spectrum of an operator; fourth order differential operator; spectrum asymptotics; equiconvergence of spectral resolutions; method of similar operators; PERTURBATION;

D O I：

10.1090/spmj/1417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By the method of similar operators, the spectral properties of a fourth order differential operator are studied under periodic or semiperiodic boundary conditions. The spectrum asymptotics is obtained, together with some estimates for the spectral resolution for the operator in question. Also, the operator semigroup is constructed whose generator is equal to minus the operator under study.

引用

页码：789 / 811

页数：23

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