On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions

被引：4
作者：
Polyakov D.M. [1 ]
机构：
[1] Voronezh State University, Universitetskaya pl. 1, Voronezh
来源：
Russian Mathematics | 2015年 / 59卷 / 5期
关键词：
fourth order differential operator; method of similar operators; spectrum;
D O I：
10.3103/S1066369X15050096
中图分类号：
学科分类号：
摘要：
With the use of similar operator method, in this paper we study spectral properties of fourth order differential operator with periodic and antiperiodic boundary conditions. We obtain asymptotic of a spectrum and estimates of equiconvergence of spectral decompositions for the investigated operator. We also construct a semigroup of operators which has the opposite differential operator as a generator. © 2015, Allerton Press, Inc.
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页码：64 / 68
页数：4
相关论文
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