Spectral Analysis of Differential Operators with Involution and Operator Groups

被引：0
|
作者：
A. G. Baskakov
N. B. Uskova
机构：
[1] Voronezh State University,
[2] Khetagurov North Ossetian State University,undefined
[3] Voronezh State Technical University,undefined
来源：
Differential Equations | 2018年 / 54卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the spectral properties of differential operators with involution of the following two types: operators with involution multiplying the potential and operators with involution multiplying the derivative. The similar operator method is used to obtain a refined asymptotics of the eigenvalues and eigenvectors of such operators. These asymptotics are used to derive asymptotic formulas for the operator groups generated by the operators in question. These operator groups can be used to describe mild solutions of the corresponding mixed problems.
引用
收藏
页码：1261 / 1265
页数：4
相关论文
共 50 条
  • [1] Spectral Analysis of Differential Operators with Involution and Operator Groups
    Baskakov, A. G.
    Uskova, N. B.
    DIFFERENTIAL EQUATIONS, 2018, 54 (09) : 1261 - 1265
  • [2] Spectral Analysis of a Differential Operator with Involution
    Romanova E.Y.
    Journal of Mathematical Sciences, 2016, 213 (6) : 897 - 909
  • [3] Spectral analysis of a differential operator with an involution
    Anatoly G. Baskakov
    Ilya A. Krishtal
    Elena Yu. Romanova
    Journal of Evolution Equations, 2017, 17 : 669 - 684
  • [4] Spectral analysis of a differential operator with an involution
    Baskakov, Anatoly G.
    Krishtal, Ilya A.
    Romanova, Elena Yu.
    JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (02) : 669 - 684
  • [5] SPECTRAL PROPERTIES OF FIRST-ORDER DIFFERENTIAL OPERATORS WITH AN INVOLUTION AND GROUPS OF OPERATORS
    Krishtal, I. A.
    Uskova, N. B.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1091 - 1132
  • [6] Spectral Properties of a Differential Operator with Involution
    Ya. A. Granilshchikova
    A. A. Shkalikov
    Moscow University Mathematics Bulletin, 2022, 77 : 204 - 208
  • [7] Spectral Properties of a Differential Operator with Involution
    Granilshchikova, Ya A.
    Shkalikov, A. A.
    MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2022, 77 (04) : 204 - 208
  • [8] ON THE SPECTRAL ANALYSIS OF A DIFFERENTIAL OPERATOR WITH AN INVOLUTION AND GENERAL BOUNDARY CONDITIONS
    Baskakov, A. G.
    Krishtal, I. A.
    Uskova, N. B.
    EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (02): : 30 - 39
  • [9] Spectral Properties of Ordinary Differential Operators with Involution
    Vladykina, V. E.
    Shkalikov, A. A.
    DOKLADY MATHEMATICS, 2019, 99 (01) : 5 - 10
  • [10] Spectral Properties of Ordinary Differential Operators with Involution
    V. E. Vladykina
    A. A. Shkalikov
    Doklady Mathematics, 2019, 99 : 5 - 10
12345