Chelkak, D. An application of the fixed point theorem to the inverse Sturm-Liouville problem. (English) Zbl 1288.34012 J. Math. Sci., New York 166, No. 1, 118-126 (2010) and Zap. Nauchn. Semin. POMI 370, 203-218 (2009). MSC: 34A55 34B24 47N20 PDFBibTeX XMLCite \textit{D. Chelkak}, J. Math. Sci., New York 166, No. 1, 118--126 (2010; Zbl 1288.34012) Full Text: DOI arXiv
Korotyaev, E.; Chelkak, D. The inverse Sturm-Liouville problem with mixed boundary conditions. (English. Russian original) Zbl 1225.34025 St. Petersbg. Math. J. 21, No. 5, 761-778 (2010); translation from Algebra Anal. 21, No. 5, 114-137 (2009). Reviewer: Bruce A. Watson (Wits) MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{D. Chelkak}, St. Petersbg. Math. J. 21, No. 5, 761--778 (2010; Zbl 1225.34025); translation from Algebra Anal. 21, No. 5, 114--137 (2009) Full Text: DOI arXiv
Chelkak, Dmitry; Korotyaev, Evgeny Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval. (English) Zbl 1178.34014 J. Funct. Anal. 257, No. 5, 1546-1588 (2009). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{D. Chelkak} and \textit{E. Korotyaev}, J. Funct. Anal. 257, No. 5, 1546--1588 (2009; Zbl 1178.34014) Full Text: DOI arXiv
Chelkak, Dmitry; Korotyaev, Evgeny Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem. (English) Zbl 1116.34009 J. Funct. Anal. 241, No. 1, 359-373 (2006). Reviewer: Chie-Ping Chu (Taipei) MSC: 34A55 34B24 34L05 34L25 PDFBibTeX XMLCite \textit{D. Chelkak} and \textit{E. Korotyaev}, J. Funct. Anal. 241, No. 1, 359--373 (2006; Zbl 1116.34009) Full Text: DOI arXiv
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni Inverse problem for harmonic oscillator perturbed by potential, characterization. (English) Zbl 1085.81055 Commun. Math. Phys. 249, No. 1, 133-196 (2004). Reviewer: Maksim Sokolov (Tashkent) MSC: 81U40 34A55 34L40 81Q10 PDFBibTeX XMLCite \textit{D. Chelkak} et al., Commun. Math. Phys. 249, No. 1, 133--196 (2004; Zbl 1085.81055) Full Text: DOI Link