A SPECIFIC STURM-LIOUVILLE DIFFERENTIAL EQUATION

被引:2
|
作者
Tanriverdi, Tanfer [1 ]
机构
[1] Harran Univ, Fac Arts & Sci, Dept Math, Sanliurfa, Turkey
来源
THERMAL SCIENCE | 2019年 / 23卷
关键词
Sturm-Liouville; Schrodinger equation; energy equation; energy states; eigenfunctions; complex residues; explicit solution;
D O I
10.2298/TSCI180917329T
中图分类号
O414.1 [热力学];
学科分类号
摘要
Explicit solutions of the second order ODE: y ''(x) + (lambda + 12 sech(2) x)y(x) = 0 and its eigenpairs are obtained by calculating complex residues. Eigenpairs (energy states and energy function), spectral function and eigenfunction expansions are also reported.
引用
收藏
页码:S47 / S56
页数:10
相关论文
共 50 条
  • [21] An oscillation criterion for a dynamic Sturm-Liouville equation
    Oplustil, Z
    Pospísil, Z
    PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 317 - 324
  • [22] Inverse spectral problem for the Sturm-Liouville equation
    Brown, BM
    Samko, VS
    Knowles, IW
    Marletta, M
    INVERSE PROBLEMS, 2003, 19 (01) : 235 - 252
  • [23] THE NEW ASYMPTOTICS FOR SOLUTIONS OF THE STURM-LIOUVILLE EQUATION
    Nazirova, Elvira A.
    Sultanaev, Yaudat T.
    Valeev, Nur F.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2023, 49 (02): : 253 - 258
  • [24] On a fractional hybrid version of the Sturm-Liouville equation
    Charandabi, Zohreh Zeinalabedini
    Rezapour, Shahram
    Ettefagh, Mina
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [25] INVERSE STURM-LIOUVILLE PROBLEMS AND HILL EQUATION
    CAZES, A
    HOCHSTADT, H
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (02) : 606 - 621
  • [26] ASYMPTOTICS OF NONLINEAR STURM-LIOUVILLE EQUATION SPECTRUM
    THAN, VK
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1991, (04): : 3 - 8
  • [27] Weight summability of solutions of the Sturm-Liouville equation
    Chernyavskaya, N
    Shuster, L
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 151 (02) : 456 - 473
  • [28] TRACE FORMULAE FOR STURM-LIOUVILLE OPERATOR EQUATION
    Aslanova, Nigar M.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2007, 26 (34): : 53 - 60
  • [29] Reconstruction of a Sturm-Liouville equation with an integrable weight
    Yakubov, VY
    RUSSIAN MATHEMATICAL SURVEYS, 1996, 51 (04) : 758 - 759
  • [30] On partial fractional Sturm-Liouville equation and inclusion
    Charandabi, Zohreh Zeinalabedini
    Mohammadi, Hakimeh
    Rezapour, Shahram
    Masiha, Hashem Parvaneh
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)