Kravchenko, Vladislav V.; Shishkina, Elina L.; Torba, Sergii M. A transmutation operator method for solving the inverse quantum scattering problem. (English) Zbl 1471.34162 Inverse Probl. 36, No. 12, Article ID 125007, 23 p. (2020). MSC: 34L25 34A55 34A25 65L09 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Inverse Probl. 36, No. 12, Article ID 125007, 23 p. (2020; Zbl 1471.34162) Full Text: DOI arXiv
Kravchenko, V. V.; Shishkina, E. L.; Torba, S. M. On a series representation for integral kernels of transmutation operators for perturbed Bessel equations. (English. Russian original) Zbl 1483.34046 Math. Notes 104, No. 4, 530-544 (2018); translation from Mat. Zametki 104, No. 4, 552-570 (2018). MSC: 34B30 34A25 34A30 34B09 47A55 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Math. Notes 104, No. 4, 530--544 (2018; Zbl 1483.34046); translation from Mat. Zametki 104, No. 4, 552--570 (2018) Full Text: DOI arXiv
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. (English) Zbl 1395.34016 Appl. Anal. 97, No. 5, 677-704 (2018). MSC: 34A25 34B30 34L40 41A25 42C10 34B24 41A10 41A60 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Appl. Anal. 97, No. 5, 677--704 (2018; Zbl 1395.34016) Full Text: DOI arXiv
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Rosu, Haret C. Eigenvalue problems, spectral parameter power series, and modern applications. (English) Zbl 1347.34128 Math. Methods Appl. Sci. 38, No. 10, 1945-1969 (2015). Reviewer: Manfred Möller (Johannesburg) MSC: 34L16 34B09 34B24 34B40 34L25 PDFBibTeX XMLCite \textit{K. V. Khmelnytskaya} et al., Math. Methods Appl. Sci. 38, No. 10, 1945--1969 (2015; Zbl 1347.34128) Full Text: DOI arXiv
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M. Spectral parameter power series for perturbed Bessel equations. (English) Zbl 1329.34021 Appl. Math. Comput. 220, 676-694 (2013). MSC: 34A25 34B24 PDFBibTeX XMLCite \textit{R. Castillo-Pérez} et al., Appl. Math. Comput. 220, 676--694 (2013; Zbl 1329.34021) Full Text: DOI arXiv
Kravchenko, Vladislav V.; Torba, Sergii M. Transmutations and spectral parameter power series in eigenvalue problems. (English) Zbl 1347.34130 Karlovich, Yuri I. (ed.) et al., Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Applications 228, 209-238 (2013). MSC: 34L40 34B24 65L15 81Q10 34L16 PDFBibTeX XMLCite \textit{V. V. Kravchenko} and \textit{S. M. Torba}, Oper. Theory: Adv. Appl. 228, 209--238 (2013; Zbl 1347.34130) Full Text: DOI arXiv