Buterin

Sergey

Aleksandrovich

1. Buterin S.A. The inverse problem of recovering the Volterra convolution operator from the incomplete spectrum of its rank-one perturbation, Inverse Problems 22 (2006) 2223–2236.

https://doi.org/10.1088/0266-5611/22/6/019

2. Buterin S.A. Inverse spectral reconstruction problem for the convolution operator perturbed by a one-dimensional operator, Math. Notes 80 (2006) no.5, 631–644.

https://doi.org/10.1007/s11006-006-0184-6

3. Buterin S.A. Inverse spectral problem of recovering one-dimensional perturbation of an integral Volterra operator. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform. 6 (2006) no. 1/2, 3–11. (in Russian)

https://doi.org/10.18500/1816-9791-2006-6-1-2-3-11

4. Buterin S.A. Inverse spectral problem for pencils of differential operators on a finite interval, Vestnik of Bashkir Univ., 2006, no.4, 8–12. (with Yurko V.A.)

https://elibrary.ru/item.asp?id=9614324

5. Buterin S.A. On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval, J. Math. Anal. Appl. 335 (2007) no.1, 739–749.

https://doi.org/10.1016/j.jmaa.2007.02.012

6. Buterin S.A. On an inverse spectral problem for a convolution integro-differential operator, Res. Math. 50 (2007) no.3/4, 173–181.

https://doi.org/10.1007/s00025-007-0244-6

7. Buterin S.A. Inverse nodal problem for differential pencils, Appl. Math. Lett. 22 (2009) 1240–1247. (with Shieh C.-T.)

https://doi.org/10.1016/j.aml.2009.01.037

8. Buterin S.A. Sampling and Birkhoff regular problems, J. Australian Math. Soc. 87 (2009) 289–310. (with M. Annaby and G. Freiling)

https://doi.org/10.1017/S144678870900024X

9. Buterin S.A. On the reconstruction of a convolution perturbation of the Sturm–Liouville operator from the spectrum, Diff. Eqns. 46 (2010) no.1, 150–154.

https://doi.org/10.1134/S0012266110010167

10. Buterin S.A. On half inverse problem for differential pencils with the spectral parameter in boundary conditions, Tamkang J. Math. 42 (2011) no.3, 355–364.

https://doi.org/10.5556/j.tkjm.42.2011.912

11. Buterin S.A. Inverse problems for second-order differential pencils with Dirichlet boundary conditions, J. Inv. Ill-Posed Probl. 20 (2012) 855–881. (with V.A. Yurko)

https://doi.org/10.1515/jip-2012-0062

12. Buterin S.A. Incomplete inverse spectral and nodal problems for differential pencils, Results Math. 62 (2012) no.1/2, 167–179. (with C.-T. Shieh)

https://doi.org/10.1007/s00025-011-0137-6

13. Buterin S.A. Inverse spectral-scattering problem for the Sturm–Liouville operator on a noncompact star-type graph, Tamkang J. Math. 44 (2013) no.3, 327–349. (with G. Freiling)

https://doi.org/10.5556/j.tkjm.44.2013.1422

14. Buterin S.A. Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions, Boundary Value Probl. 2013, 2013:180, 24pp. (with C.-T. Shieh and V.A. Yurko)

https://doi.org/10.1186/1687-2770-2013-180

15. Buterin S.A. On an open question in the inverse transmission eigenvalue problem, Inverse Problems 31 (2015) 045003. (with C.-F. Yang and V.A. Yurko)

https://doi.org/10.1088/0266-5611/31/4/045003

16. Buterin S.A. On inverse problem for a convolution integro-differential operator with Robin boundary conditions, Appl. Math. Lett. 48 (2015) 150–155. (with A.E. Choque Rivero)

https://doi.org/10.1016/j.aml.2015.04.003

17. Buterin S.A. Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues, J. Diff. Eqns. 260 (2016) 4871–4887. (with C.-F. Yang)

https://doi.org/10.1016/j.jde.2015.11.031

18. Buterin S.A. Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions, J. Inv. and Ill-Posed Probl. 25 (2017) no.2, 175–183. (with X.-C. Xu and C.F. Yang)

https://doi.org/10.1515/jiip-2016-0007

19. Buterin S.A. A half inverse spectral problem for an integro-differential operator, Inverse Problems in Science and Engineering 25 (2017) no.10, 1508–1518. (with M. Sat)

https://doi.org/10.1080/17415977.2016.1267171

20. Buterin S.A. On an inverse transmission problem from complex eigenvalues, Results in Mathematics 71 (2017) 859–866. (with C.-F. Yang)

https://doi.org/10.1007/s00025-015-0512-9

21. Buterin S.A. Sturm–Liouville differential operators with deviating argument, Tamkang Journal of Mathematics 48 (2017), no.1, 61–71. (with M. Pikula and V.A. Yurko)

https://doi.org/10.5556/j.tkjm.48.2017.2264

22. Buterin S.A. Solution to the interior transmission problem using nodes on a subinterval as input data, Nonlinear Analysis: Real World Applications 35 (2017) 20–29. (with C.-F. Yang and X.-C. Xu)

https://doi.org/10.1016/j.nonrwa.2016.10.004

23. Buterin S.A. On recovering the Dirac operator with an integral delay from the spectrum, Results in Mathematics 71 (2017) 1521–1529. (with N.P. Bondarenko)

https://doi.org/10.1007/s00025-016-0568-1

24. Buterin S.A. On a local solvability and stability of the inverse transmission eigenvalue problem, Inverse Problems 33 (2017) no.11, 115010 (19pp) (with N.P. Bondarenko)

https://doi.org/10.1088/1361-6420/aa8cb5

25. Buterin S.A. On an inverse spectral problem for first-order integro-differential operators with discontinuities, Appl. Math. Lett. 78 (2018) 65–71.

https://doi.org/10.1016/j.aml.2017.11.005

26. Buterin S.A. On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation, Boundary Value Problems (2018) 2018:55, 1–12. (with S.V. Vasiliev)

https://doi.org/10.1186/s13661-018-0974-2

27. Buterin S. On global solvability and uniform stability of one nonlinear integral

equation, Results Math. (2018) 73:117, 1–19. (with M. Malyugina)

https://doi.org/10.1007/s00025-018-0879-5

28. Buterin S.A. Inverse spectral problem for Sturm–Liouville integro-differential operators with discontinuity conditions, Contemporary Mathematics. Fundamental Directions 64 (2018) no.3, 427–458; Engl. transl. in J. Math. Sci. (to appear)

https://doi.org/10.22363/2413-3639-2018-64-3-427-458

29. Buterin S.A. An inverse spectral problem for Sturm–Liouville operators with frozen argument, J. Math. Anal. Appl. 472 (2019) 1028–1041. (with N.P. Bondarenko and S.V. Vasiliev)

https://doi.org/10.1016/j.jmaa.2018.11.062

30. Buterin S.A. An inverse spectral problem for Sturm-Liouville operators with a large constant delay, Anal. Math. Phys. 9 (2019) no.1, 17–27. (with V.A. Yurko)

https://doi.org/10.1007/s13324-017-0176-6

31. Buterin S.A. Inverse problems for second order integral and integro-differential operators, Anal. Math. Phys. 9 (2019) no.1, 555–564. (with V.A. Yurko)

https://doi.org/10.1007/s13324-018-0217-9

32. Buterin S.A. On recovering a Sturm–Liouville-type operator with the frozen argument rationally proportioned to the interval length, J. Inv. Ill-Posed Probl. 27 (2019) no.3, 429–438. (with S.V. Vasiliev)

https://doi.org/10.1515/jiip-2018-0047

33. Buterin S.A. On Borg’s method for non-selfadjoint Sturm–Liouville operators, Analysis and Mathematical Physics 9 (2019) 2133–2150. (with M.A.Kuznetsova)

https://doi.org/10.1007/s13324-019-00307-9

34. Buterin S.A. On solvability of one nonlinear integral equation in the class of analytic functions, Applied Mathematics Letters 96 (2019) 27–32. (with P.A. Terekhin)

https://doi.org/10.1016/j.aml.2019.04.013

35. Buterin S.A. An inverse spectral problem for Sturm–Liouville-type integro-differential operators with Robin boundary conditions, Tamkang J. Math. 50

(2019) no.3, 207–221.

https://doi.org/10.5556/j.tkjm.50.2019.3347

36. Buterin S.A. Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem Electron. J. Qual. Theory Differ. Equ. (2019) no.38, 1–15. (with X.-C. Xu, C.-F. Yang and V.A. Yurko)

https://doi.org/10.14232/ejqtde.2019.1.38

37. Buterin S.A. Isospectral sets for transmission eigenvalue problem, J. Inverse and

Ill-Posed Problems 28 (2020) no.1, 63–69. (with C.F. Yang)

https://doi.org/10.1515/jiip-2018-0058

38. Buterin S. An inverse spectral problem for integro-differential Dirac operators with general convolution kernels, Applicable Analysis 99 (2020) no.4, 700–716. (with N. Bondarenko)

https://doi.org/10.1080/00036811.2018.1508653

39. Buterin S. On the inverse problem for Sturm–Liouville-type operators with frozen argument: rational case, Comp. Appl. Math. (2020) 39:5 (15pp.) (with M. Kuznetsova)

https://doi.org/10.1007/s40314-019-0972-8

40. Buterin S. On a transformation operator approach in the inverse spectral theory of integral and integro-differential operators, Transmutation Operators and Applications, Trends in Mathematics, Birkhäuser, Cham, 2020. P.337–367.

https://doi.org/10.1007/978-3-030-35914-0_15

41. Buterin S. Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator, Commun. Nonlinear Sci. Numer. Simulat. 89 (2020) 105298, 11pp. (with N. Bondarenko)

https://doi.org/10.1016/j.cnsns.2020.105298

42. Buterin S.A. On a regularization approach to the inverse transmission eigenvalue problem, Inverse Problems 36 (2020) 105002, 20pp. (with A.E. Choque-Rivero and M.A. Kuznetsova)

https://doi.org/10.1088/1361-6420/abaf3c

43. Buterin S. Uniform stability of the inverse spectral problem for a convolution integro-differential operator, Applied Mathematics and Computation 390 (2021) 125592, 11pp.

https://doi.org/10.1016/j.amc.2020.125592

44. Buterin S.A. On an open question in recovering Sturm–Liouville-type operators with delay, Applied Mathematics Letters 113 (2021) 106862, 6pp. (with N. Djurić)

https://doi.org/10.1016/j.aml.2020.106862

• Inverse Problem Method in Nonlinear Waves Theory. 2013. (with Ignatiev, M.Yu., Kabanov, S.N., Kuryshova, Yu.V., Lukomsky, D.S.)