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Mat. Zametki, 1991, Volume 50, Issue 5, Pages 134–146 (Mi mz3121)  

This article is cited in 26 scientific papers (total in 26 papers)

Inverse problem for integrodifferential operators

V. A. Yurko

Saratov State University named after N. G. Chernyshevsky

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English version:
Mathematical Notes, 1991, 50:5, 1188–1197

Bibliographic databases:

Received: 21.06.1989

Citation: V. A. Yurko, “Inverse problem for integrodifferential operators”, Mat. Zametki, 50:5 (1991), 134–146; Math. Notes, 50:5 (1991), 1188–1197

Citation in format AMSBIB
\by V.~A.~Yurko
\paper Inverse problem for integrodifferential operators
\jour Mat. Zametki
\yr 1991
\vol 50
\issue 5
\pages 134--146
\jour Math. Notes
\yr 1991
\vol 50
\issue 5
\pages 1188--1197

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    This publication is cited in the following articles:
    1. Yu. V. Kuryshova, “Inverse Spectral Problem for Integro-Differential Operators”, Math. Notes, 81:6 (2007), 767–777  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. Buterin S.A., “On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum”, Differential Equations, 46:1 (2010), 150–154  crossref  isi
    3. Nizhnik L., “Inverse nonlocal Sturm-Liouville problem”, Inverse Problems, 26:12 (2010), 125006  crossref  isi
    4. Kuryshova Yu.V., Shieh Ch.-Ts., “An inverse nodal problem for integro-differential operators”, J Inverse Ill Posed Probl, 18:4 (2010), 357–369  crossref  isi
    5. Freiling G. Yurko V.A., “Inverse Problems for Sturm-Liouville Differential Operators with a Constant Delay”, Appl. Math. Lett., 25:11 (2012), 1999–2004  crossref  isi
    6. Yang Ch.-F., “Trace Formulae for Matrix Integro-Differential Operators”, Z. Naturfors. Sect. A-J. Phys. Sci., 67:3-4 (2012), 180–184  crossref  isi
    7. Yang Ch.-F., “Inverse Nodal Problems For the Sturm-Liouville Operator With a Constant Delay”, J. Differ. Equ., 257:4 (2014), 1288–1306  crossref  isi
    8. Buterin S.A. Choque Rivero A.E., “on Inverse Problem For a Convolution Integro-Differential Operator With Robin Boundary Conditions”, Appl. Math. Lett., 48 (2015), 150–155  crossref  isi
    9. V. A. Yurko, “Inverse Problems for First-Order Integro-Differential Operators”, Math. Notes, 100:6 (2016), 876–882  mathnet  crossref  crossref  mathscinet  isi  elib
    10. Wang Yu.-p. Koyunbakan H. Yang Ch.-f., “A trace formula for integro-differential operators on the finite interval”, Acta Math. Appl. Sin.-Engl. Ser., 33:1 (2017), 141–146  crossref  mathscinet  zmath  isi  scopus
    11. Manafov M.D., “An Inverse Spectral Problem For Sturm-Liouville Operator With Integral Delay”, Electron. J. Differ. Equ., 2017, 12  mathscinet  zmath  isi
    12. M. Yu. Ignatev, S. Yu. Sovetnikova, “O vosstanovlenii integrodifferentsialnykh operatorov po funktsii Veilya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 17:3 (2017), 276–284  mathnet  crossref  elib
    13. Buterin S.A. Pikula M. Yurko V.A., “Sturm-Liouville Differential Operators With Deviating Argument”, Tamkang J. Math., 48:1 (2017), 61–71  crossref  isi
    14. Bondarenko N. Buterin S., “On Recovering the Dirac Operator With An Integral Delay From the Spectrum”, Results Math., 71:3-4 (2017), 1521–1529  crossref  isi
    15. Buterin S.A. Sat M., “On the Half Inverse Spectral Problem For An Integro-Differential Operator”, Inverse Probl. Sci. Eng., 25:10 (2017), 1508–1518  crossref  isi
    16. Yurko V., “Inverse Problems For Second Order Integro-Differential Operators”, Appl. Math. Lett., 74 (2017), 1–6  crossref  isi
    17. Buterin S.A., “On An Inverse Spectral Problem For First-Order Integro-Differential Operators With Discontinuities”, Appl. Math. Lett., 78 (2018), 65–71  crossref  isi
    18. Ignatyev M., “On An Inverse Spectral Problem For the Convolution Integro-Differential Operator of Fractional Order”, Results Math., 73:1 (2018), UNSP 34  crossref  isi
    19. Keskin B., “Reconstruction of the Volterra-Type Integro-Differential Operator From Nodal Points”, Bound. Value Probl., 2018, 47  crossref  isi
    20. Buterin S.A. Vasiliev S.V., “On Uniqueness of Recovering the Convolution Integro-Differential Operator From the Spectrum of Its Non-Smooth One-Dimensional Perturbation”, Bound. Value Probl., 2018, 55  crossref  isi
    21. Yurko V., “Inverse Problems For Arbitrary Order Integral and Integro-Differential Operators”, Results Math., 73:2 (2018), UNSP 72  crossref  isi
    22. S. A. Buterin, “Obratnaya spektralnaya zadacha dlya integro-differentsialnykh operatorov Shturma–Liuvillya s usloviyami razryva”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 64, no. 3, Rossiiskii universitet druzhby narodov, M., 2018, 427–458  mathnet  crossref
    23. Bondarenko N.P. Buterin S.A. Vasiliev S.V., “An Inverse Spectral Problem For Sturm-Liouville Operators With Frozen Argument”, J. Math. Anal. Appl., 472:1 (2019), 1028–1041  crossref  mathscinet  isi  scopus
    24. Ignatiev M., “On An Inverse Spectral Problem For One Integro-Differential Operator of Fractional Order”, J. Inverse Ill-Posed Probl., 27:1 (2019), 17–23  crossref  mathscinet  isi  scopus
    25. Buterin S.A. Yurko V.A., “An Inverse Spectral Problem For Sturm-Liouville Operators With a Large Constant Delay”, Anal. Math. Phys., 9:1 (2019), 17–27  crossref  mathscinet  isi  scopus
    26. Buterin S. Yurko V., “Inverse Problems For Second Order Integral and Integro-Differential Operators”, Anal. Math. Phys., 9:1 (2019), 555–564  crossref  mathscinet  isi  scopus
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