Tsai, Tzong-Mo; Liu, Hsiao-Fan; Buterin, Sergey; Chen, Lung-Hui; Shieh, Chung-Tsun Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials. (English) Zbl 07781395 Math. Methods Appl. Sci. 45, No. 16, 9635-9652 (2022). MSC: 34A55 34K29 47B36 PDFBibTeX XMLCite \textit{T.-M. Tsai} et al., Math. Methods Appl. Sci. 45, No. 16, 9635--9652 (2022; Zbl 07781395) Full Text: DOI arXiv
Buterin, S. A. Inverse spectral problem for integro-differential Sturm-Liouville operators with discontinuity conditions. (English. Russian original) Zbl 1495.45010 J. Math. Sci., New York 263, No. 6, 741-772 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 3, 427-458 (2018). MSC: 45Q05 34A55 45J05 45P05 45M05 PDFBibTeX XMLCite \textit{S. A. Buterin}, J. Math. Sci., New York 263, No. 6, 741--772 (2022; Zbl 1495.45010); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 3, 427--458 (2018) Full Text: DOI
Buterin, Sergey; Hu, Yi-Teng Inverse spectral problems for Hill-type operators with frozen argument. (English) Zbl 1465.34084 Anal. Math. Phys. 11, No. 2, Paper No. 75, 22 p. (2021). MSC: 34K29 34L40 34K08 PDFBibTeX XMLCite \textit{S. Buterin} and \textit{Y.-T. Hu}, Anal. Math. Phys. 11, No. 2, Paper No. 75, 22 p. (2021; Zbl 1465.34084) Full Text: DOI arXiv
Buterin, Sergey Uniform stability of the inverse spectral problem for a convolution integro-differential operator. (English) Zbl 1508.65086 Appl. Math. Comput. 390, Article ID 125592, 11 p. (2021). MSC: 65L09 34A55 65R20 45J05 47G20 PDFBibTeX XMLCite \textit{S. Buterin}, Appl. Math. Comput. 390, Article ID 125592, 11 p. (2021; Zbl 1508.65086) Full Text: DOI arXiv
Buterin, Sergey Uniform full stability of recovering convolutional perturbation of the Sturm-Liouville operator from the spectrum. (English) Zbl 1466.45006 J. Differ. Equations 282, 67-103 (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 45J05 45Q05 45C05 45M10 47G20 PDFBibTeX XMLCite \textit{S. Buterin}, J. Differ. Equations 282, 67--103 (2021; Zbl 1466.45006) Full Text: DOI arXiv
Bondarenko, Natalia; Buterin, Sergey Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator. (English) Zbl 1452.65416 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105298, 10 p. (2020). MSC: 65R32 45J05 47G20 PDFBibTeX XMLCite \textit{N. Bondarenko} and \textit{S. Buterin}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105298, 10 p. (2020; Zbl 1452.65416) Full Text: DOI
Buterin, Sergey On a transformation operator approach in the inverse spectral theory of integral and integro-differential operators. (English) Zbl 1467.45022 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 337-367 (2020). MSC: 45P05 45G15 45J05 35Q05 47G20 PDFBibTeX XMLCite \textit{S. Buterin}, in: Transmutation operators and applications. Cham: Birkhäuser. 337--367 (2020; Zbl 1467.45022) Full Text: DOI
Bondarenko, Natalia; Buterin, Sergey An inverse spectral problem for integro-differential Dirac operators with general convolution kernels. (English) Zbl 1436.34012 Appl. Anal. 99, No. 4, 700-716 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 45J05 34B09 34B10 45G15 PDFBibTeX XMLCite \textit{N. Bondarenko} and \textit{S. Buterin}, Appl. Anal. 99, No. 4, 700--716 (2020; Zbl 1436.34012) Full Text: DOI
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. (English) Zbl 1499.34115 Bound. Value Probl. 2018, Paper No. 55, 12 p. (2018). MSC: 34A55 34K08 45J05 47G20 PDFBibTeX XMLCite \textit{S. A. Buterin} and \textit{S. V. Vasiliev}, Bound. Value Probl. 2018, Paper No. 55, 12 p. (2018; Zbl 1499.34115) Full Text: DOI
Buterin, S. A. On an inverse spectral problem for first-order integro-differential operators with discontinuities. (English) Zbl 1381.45026 Appl. Math. Lett. 78, 65-71 (2018). MSC: 45J05 45C05 45Q05 PDFBibTeX XMLCite \textit{S. A. Buterin}, Appl. Math. Lett. 78, 65--71 (2018; Zbl 1381.45026) Full Text: DOI
Buterin, S. A.; Sat, M. On the half inverse spectral problem for an integro-differential operator. (English) Zbl 1390.45022 Inverse Probl. Sci. Eng. 25, No. 10, 1508-1518 (2017). MSC: 45J05 34A55 47G20 PDFBibTeX XMLCite \textit{S. A. Buterin} and \textit{M. Sat}, Inverse Probl. Sci. Eng. 25, No. 10, 1508--1518 (2017; Zbl 1390.45022) Full Text: DOI
Bondarenko, Natalia; Buterin, Sergey On recovering the Dirac operator with an integral delay from the spectrum. (English) Zbl 1408.34019 Result. Math. 71, No. 3-4, 1521-1529 (2017). Reviewer: Zhaoying Wei (Xi’an) MSC: 34A55 45J05 47G20 34L40 34B09 34B10 PDFBibTeX XMLCite \textit{N. Bondarenko} and \textit{S. Buterin}, Result. Math. 71, No. 3--4, 1521--1529 (2017; Zbl 1408.34019) Full Text: DOI
Buterin, S. A. On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum. (English. Russian original) Zbl 1197.34017 Differ. Equ. 46, No. 1, 150-154 (2010); translation from Differ. Uravn. 46, No. 1, 146-149 (2010). MSC: 34A55 34L40 PDFBibTeX XMLCite \textit{S. A. Buterin}, Differ. Equ. 46, No. 1, 150--154 (2010; Zbl 1197.34017); translation from Differ. Uravn. 46, No. 1, 146--149 (2010) Full Text: DOI