Spectral analysis of a fourth-order differential pencil on the whole real line

被引：1
|
作者：
Mirzoev, S. S. [1 ,2 ]
Orudzhev, E. G. [2 ]
Aliev, A. R. [1 ,2 ]
机构：
[1] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
[2] Baku State Univ, Baku, Azerbaijan
来源：
DOKLADY MATHEMATICS | 2012年 / 85卷 / 01期
关键词：
Spectral Analysis; Real Line; Continuous Spectrum; DOKLADY Mathematic; Characteristic Root;
D O I：
10.1134/S106456241201019X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A study was conducted to demonstrate spectral analysis of a fourth-order differential pencil on the whole real line. The basic spectral properties of pencils with such differential expressions on a finite interval were studied in detail. The integral equations were solved by the method of successive approximations. The method given in equation 5 was extended over the entire real line and a spectral decomposition formula by spectral methods was applied to demonstrate spectral analysis of a fourth-order differential pencil on the whole real line.
引用
收藏
页码：57 / 59
页数：3
相关论文
共 50 条
  • [1] Spectral analysis of a fourth-order differential pencil on the whole real line
    S. S. Mirzoev
    E. G. Orudzhev
    A. R. Aliev
    [J]. Doklady Mathematics, 2012, 85 : 57 - 59
  • [2] Spectral and oscillatory properties of a linear pencil of fourth-order differential operators
    Ben Amara, J.
    Shkalikov, A. A.
    Vladimirov, A. A.
    [J]. MATHEMATICAL NOTES, 2013, 94 (1-2) : 49 - 59
  • [3] Spectral and oscillatory properties of a linear pencil of fourth-order differential operators
    J. Ben Amara
    A. A. Shkalikov
    A. A. Vladimirov
    [J]. Mathematical Notes, 2013, 94 : 49 - 59
  • [4] Attractor for a Fourth-order Equation in the Whole Line
    ZHAO Cai-di
    Department of Applied Mathematics
    [J]. Chinese Quarterly Journal of Mathematics, 2006, (02) : 229 - 235
  • [5] Spectral properties of a fourth-order differential operator on a network
    Kulaev, Ruslan
    Urtaeva, Alexandra
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (14) : 15743 - 15763
  • [6] Spectral analysis of higher-order differential operators II: Fourth-order equations
    Remling, C
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 59 : 188 - 206
  • [7] Diagonalized Gegenbauer rational spectral methods for second- and fourth-order problems on the whole line
    Li, Shan
    Lai, Zhenyan
    Jin, Lusha
    Yu, Xuhong
    [J]. APPLIED NUMERICAL MATHEMATICS, 2020, 151 : 494 - 516
  • [8] A Note on the Spectral Analysis of Some Fourth-Order Differential Equations with a Semigroup Approach
    Flank D. M. Bezerra
    Lucas A. Santos
    Maria J. M. Silva
    Carlos R. Takaessu
    [J]. Results in Mathematics, 2023, 78
  • [9] A Note on the Spectral Analysis of Some Fourth-Order Differential Equations with a Semigroup Approach
    Bezerra, Flank D. M.
    Santos, Lucas A.
    Silva, Maria J. M.
    Takaessu Jr, Carlos R. R.
    [J]. RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [10] ASYMPTOTIC REPRESENTATION OF SPECTRAL MATRIX OF A FOURTH-ORDER DIFFERENTIAL OPERATOR
    BARNOVSK.MA
    [J]. DOKLADY AKADEMII NAUK SSSR, 1965, 162 (06): : 1223 - &
12345