INVERSE NODAL PROBLEM FOR THE INTEGRODIFFERENTIAL DIRAC OPERATOR WITH A DELAY IN THE KERNEL

被引：0
|
作者：
Mosazadeh, Seyfollah [1 ]
机构：
[1] Univ Kashan, Dept Math, Kashan, Iran
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2022年 / 34卷 / 04期
关键词：
Integrodifferential Dirac operator; delay integral equation; nonlocal operator; nonlinear integral equation; inverse nodal problem; SPECTRAL THEORY;
D O I：
10.1216/jie.2022.34.465
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an integrodifferential Dirac system with an integral delay on a finite interval. We obtain the asymptotical formula for the nodal points of the first components of the eigenfunctions, formulate a uniqueness theorem and prove that the kernel of the Dirac operator can be uniquely determined from a dense subset of the nodal set. We also present examples for reconstructing the kernel by using the nodal points.
引用
收藏
页码：465 / 474
页数：10
相关论文
共 50 条
  • [41] Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges
    Durak, Sevim
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2024, 32 (03): : 485 - 496
  • [42] Inverse nodal problem for polynomial pencil of Sturm-Liouville operator
    Goktas, Sertac
    Koyunbakan, Hikmet
    Gulsen, Tuba
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7576 - 7582
  • [43] An inverse nodal problem of a conformable Sturm-Liouville problem with restrained constant delay
    Auwalu Sa’idu
    Hikmet Koyunbakan
    Kamal Shah
    Thabet Abdeljawad
    Boundary Value Problems, 2024 (1)
  • [44] Reconstruction of the Dirac Operator From Nodal Data
    Yang, Chuan-Fu
    Huang, Zhen-You
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 66 (04) : 539 - 551
  • [45] Reconstruction of the Dirac Operator From Nodal Data
    Chuan-Fu Yang
    Zhen-You Huang
    Integral Equations and Operator Theory, 2010, 66 : 539 - 551
  • [46] Inverse spectral problem for Dirac operator with discontinuous coefficient and polynomials in boundary condition
    Col, Aynur
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2016, 24 (02) : 234 - 246
  • [47] INVERSE PROBLEM OF SCATTERING FOR DIRAC NOT SELF-ADJOINT OPERATOR ON WHOLE AXIS
    MAKSUDOV, FG
    VELIEV, SG
    DOKLADY AKADEMII NAUK SSSR, 1975, 225 (06): : 1263 - 1266
  • [48] ON THE INVERSE PROBLEMS FOR THE REGULAR DIRAC OPERATOR
    DASKALOV, VB
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1992, 45 (11): : 15 - 18
  • [49] AN INVERSE NODAL PROBLEM AND AMBARZUMYAN PROBLEM FOR THE PERIODIC p-LAPLACIAN OPERATOR WITH INTEGRABLE POTENTIALS
    Cheng, Yan-Hsiou
    Law, Chun-Kong
    Lian, Wei-Cheng
    Wang, Wei-Chuan
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (04): : 1305 - 1316
  • [50] Inverse Nodal Problem for Conformable Sturm-Liouville Operator with Jump Conditions
    Goktas, Sertac
    FILOMAT, 2022, 36 (17) : 5737 - 5749
12345