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Matematicheskie Zametki, 2003, Volume 74, Issue 1, Pages 142–146
DOI: https://doi.org/10.4213/mzm587
(Mi mzm587)
 

This article is cited in 23 scientific papers (total in 23 papers)

Brief Communications

Uniqueness of the Solution to the Inverse Problem of Scattering Theory for the Sturm–Liouville Operator with a Spectral Parameter in the Boundary Condition

Kh. R. Mamedov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
References:
Received: 03.06.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 1, Pages 136–140
DOI: https://doi.org/10.1023/A:1025035620342
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Kh. R. Mamedov, “Uniqueness of the Solution to the Inverse Problem of Scattering Theory for the Sturm–Liouville Operator with a Spectral Parameter in the Boundary Condition”, Mat. Zametki, 74:1 (2003), 142–146; Math. Notes, 74:1 (2003), 136–140
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm587
  • https://doi.org/10.4213/mzm587
  • https://www.mathnet.ru/eng/mzm/v74/i1/p142
  • This publication is cited in the following 23 articles:
    1. Aynur Çöl, “Spectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions”, Journal of New Theory, 2024, no. 48, 1  crossref
    2. R. G. Farzullazade, Kh. R. Mamedov, “Zadacha rasseyaniya dlya odnogo nesamosopryazhennogo operatora Shturma—Liuvillya”, Differentsialnye uravneniya i matematicheskaya fizika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 226, VINITI RAN, M., 2023, 120–126  mathnet  crossref
    3. Esra Kir Arpat, Nihal Yokus, “Uniqueness of the solution to the inverse problem of scattering theory for spectral parameter polynomially dependent Kle{\i}n-Gordon s-wave equation”, Adv. Studies: Euro-Tbilisi Math. J., 16:1 (2023)  crossref
    4. Turhan Koprubasi, Ram N. Mohapatra, “Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation”, Math Methods in App Sciences, 46:2 (2023), 1466  crossref
    5. Esra KIR ARPAT, Turhan KÖPRÜBAŞI, “Uniqueness of the solution to the inverse problem of scattering theory for spectral parameter dependent Klein-Gordon s-wave equation”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 72:1 (2023), 59  crossref
    6. Arpat Kir, Turhan Koprubasi, “Continuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameter”, Filomat, 37:20 (2023), 6781  crossref
    7. Kh. R. Mamedov, U. Demirbilek, “Ob obratnoi zadache rasseyaniya dlya odnogo klassa operatorov Shturma—Liuvillya”, Materialy 20 Mezhdunarodnoi Saratovskoi zimnei shkoly «Sovremennye problemy teorii funktsii i ikh prilozheniya», Saratov, 28 yanvarya — 1 fevralya 2020 g.  Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 200, VINITI RAN, M., 2021, 81–86  mathnet  crossref
    8. Mamedov Kh.R. Hashimoglu I., “On the Expansion Formula For a Class of Sturm-Liouville Operators”, Lobachevskii J. Math., 42:3, SI (2021), 579–586  crossref  mathscinet  isi
    9. Demirbilek U. Mamedov Kh.R., “On the Expansion Formula For a Singular Sturm-Liouville Operator”, J. Sci. Arts, 2021, no. 1, 67–76  crossref  mathscinet  isi
    10. Yuldashev T.K., Kadirkulov B.J., “Inverse Problem For a Partial Differential Equation With Gerasimov-Caputo-Type Operator and Degeneration”, Fractal Fract., 5:2 (2021), 58  crossref  mathscinet  isi
    11. Goktas S. Mamedov Kh.R., “The Levinson-Type Formula For a Class of Sturm-Liouville Equation”, Facta Univ-Ser. Math. Informat., 35:4 (2020), 1219–1229  crossref  mathscinet  isi
    12. Ying Yang, Guangsheng Wei, “Inverse Scattering Problems for Sturm–Liouville Operators with Spectral Parameter Dependent on Boundary Conditions”, Math. Notes, 103:1 (2018), 59–66  mathnet  crossref  crossref  mathscinet  isi  elib
    13. Mizrak O. Mamedov Kh.R. Akhtyamov A.M., “Characteristic Properties of Scattering Data of a Boundary Value Problem”, Filomat, 31:12 (2017), 3945–3951  crossref  mathscinet  isi  scopus  scopus
    14. Bascanbaz Tunca G. Kir Arpat E., “Uniqueness of the Solution To the Inverse Problem of Scattering Theory For the Sturm-Liouville Operator System With a Spectral Parameter in the Boundary Condition”, Gazi U. J. Sci., 29:1 (2016), 135–142  mathscinet  isi
    15. El-Raheem Z.F.A. Salama F.A., “the Inverse Scattering Problem of Some Schrodinger Type Equation With Turning Point”, Bound. Value Probl., 2015, 57  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    16. Manafov M.D., Kablan A., “Inverse Scattering Problems for Energy-Dependent Sturm-Liouville Equations with Point Delta-Interaction and Eigenparameter-Dependent Boundary Condition”, Electron. J. Differ. Equ., 2013, 237  mathscinet  zmath  isi
    17. Karaman O. Kosar N.P., “Continuity of the Scattering Function and Levinson-Type Formula of Klein-Gordon Equation”, Math. Meth. Appl. Sci., 36:12 (2013), 1583–1590  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    18. Mamedov Kh.R., Col A., “On an Inverse Scattering Problem for a Class Dirac Operator with Discontinuous Coefficient and Nonlinear Dependence on the Spectral Parameter in the Boundary Condition”, Math. Meth. Appl. Sci., 35:14 (2012), 1712–1720  crossref  mathscinet  zmath  isi  scopus  scopus
    19. Col A., Mamedov Kh.R., “On an Inverse Scattering Problem for a Class of Dirac Operators with Spectral Parameter in the Boundary Condition”, J. Math. Anal. Appl., 393:2 (2012), 470–478  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    20. Mamedov Kh.R., Kosar A.P., “Inverse scattering problem for Sturm-Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition”, Math Methods Appl Sci, 34:2 (2011), 231–241  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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