INVERSE SPECTRAL AND INVERSE NODAL PROBLEMS FOR STURM-LIOUVILLE EQUATIONS WITH POINT δ AND δ′-INTERACTIONS

被引:0
|
作者
Manafov, Manaf Dzh. [1 ,2 ]
机构
[1] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey
[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
关键词
Sturm-Liouville equations; inverse spectral and inverse nodal problems; point delta and delta '-interactions; BOUNDARY-VALUE-PROBLEMS; DISCONTINUITY CONDITIONS; OPERATORS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Inverse spectral and inverse nodal problems are studied for Sturm-Liouville equations with point delta and delta'-interactions. Uniqueness theorems are proved and a constructive procedure for the solutions is provided.
引用
收藏
页码:286 / 294
页数:9
相关论文
共 50 条
  • [41] Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter
    Freiling, G.
    Yurko, V. A.
    INVERSE PROBLEMS, 2010, 26 (05)
  • [42] SOLUTION AND CONSTRUCTION OF INVERSE PROBLEM FOR STURM-LIOUVILLE EQUATIONS WITH FINITELY MANY POINT δ-INTERACTIONS
    Bala, Bayram
    Manafov, Manaf Dzh.
    Kablan, Abdullah
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (01): : 458 - 469
  • [43] Inverse spectral problem for the Sturm-Liouville equation
    Brown, BM
    Samko, VS
    Knowles, IW
    Marletta, M
    INVERSE PROBLEMS, 2003, 19 (01) : 235 - 252
  • [44] Inverse nodal problem for the Sturm-Liouville operator with a weight
    ZHANG Ran
    Murat Sat
    YANG Chuan-fu
    AppliedMathematics:AJournalofChineseUniversities, 2020, 35 (02) : 193 - 202
  • [45] Inverse nodal problem for the Sturm-Liouville operator with a weight
    Ran Zhang
    Murat Sat
    Chuan-fu Yang
    Applied Mathematics-A Journal of Chinese Universities, 2020, 35 : 193 - 202
  • [46] Inverse nodal problem for the Sturm-Liouville operator with a weight
    Zhang, Ran
    Sat, Murat
    Yang, Chuan-fu
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2020, 35 (02) : 193 - 202
  • [47] INVERSE PROBLEM FOR STURM-LIOUVILLE AND HILL EQUATIONS
    IWASAKI, K
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 149 : 185 - 206
  • [48] Inverse Sturm-Liouville problems with homogeneous delay
    Pikula, M. T.
    Vladicic, V. M.
    Nedic, D. D.
    SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (02) : 301 - 308
  • [49] Inverse Sturm-Liouville problems with pseudospectral methods
    Altundag, H.
    Boeckmann, C.
    Taseli, H.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (07) : 1373 - 1384
  • [50] Eigenparameter dependent inverse Sturm-Liouville problems
    McCarthy, CM
    Rundell, W
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (1-2) : 85 - 105