Sadovnichii, V. A.; Sultanaev, Ya. T.; Valeev, N. F. Optimization spectral problem for the Sturm-Liouville operator in a vector function space. (English. Russian original) Zbl 07812323 Dokl. Math. 108, No. 2, 406-410 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 93-98 (2023). MSC: 34A55 34B24 34L40 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 108, No. 2, 406--410 (2023; Zbl 07812323); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 93--98 (2023) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Uniqueness of reconstruction of an \(n\)th-order differential operator with nonseparated boundary conditions by several spectra. (English. Russian original) Zbl 1485.34085 Dokl. Math. 101, No. 1, 46-48 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 55-58 (2020). Reviewer: Natalia Bondarenko (Saratov) MSC: 34A55 34B09 34L05 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 101, No. 1, 46--48 (2020; Zbl 1485.34085); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 55--58 (2020) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Degenerate boundary conditions on a geometric graph. (English. Russian original) Zbl 1422.34120 Dokl. Math. 99, No. 2, 167-170 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 3, 272-275 (2019). Reviewer: Jiři Lipovský (Hradec Kralove) MSC: 34B45 34B24 34L05 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 99, No. 2, 167--170 (2019; Zbl 1422.34120); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 3, 272--275 (2019) Full Text: DOI
Sadovnichy, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. On the uniqueness of the solution of the inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph. (English. Russian original) Zbl 1407.34031 Dokl. Math. 98, No. 1, 338-340 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 3, 247-249 (2018). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 47E05 34B45 PDFBibTeX XMLCite \textit{V. A. Sadovnichy} et al., Dokl. Math. 98, No. 1, 338--340 (2018; Zbl 1407.34031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 3, 247--249 (2018) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Inverse problem for a differential operator with nonseparated boundary conditions. (English. Russian original) Zbl 1396.34007 Dokl. Math. 97, No. 2, 181-183 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 616-619 (2018). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 47E05 34B09 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 97, No. 2, 181--183 (2018; Zbl 1396.34007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 616--619 (2018) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Uniqueness of reconstruction of the Sturm-Liouville problem with spectral polynomials in nonseparated boundary conditions. (English. Russian original) Zbl 1364.34022 Dokl. Math. 94, No. 1, 461-463 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 6, 659-661 (2016). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 94, No. 1, 461--463 (2016; Zbl 1364.34022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 6, 659--661 (2016) Full Text: DOI
Sadovnichy, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. On the solvability of inverse Sturm-Liouville problems with self-adjoint boundary conditions. (English. Russian original) Zbl 1345.34027 Dokl. Math. 93, No. 1, 82-84 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 5, 526-528 (2016). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichy} et al., Dokl. Math. 93, No. 1, 82--84 (2016; Zbl 1345.34027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 5, 526--528 (2016) Full Text: DOI
Sadovnichiĭ, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. A generalization of Levinson’s uniqueness theorem to the case of general boundary conditions. (English. Russian original) Zbl 1395.34026 Dokl. Math. 90, No. 3, 715-718 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 3, 276-279 (2014). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichiĭ} et al., Dokl. Math. 90, No. 3, 715--718 (2014; Zbl 1395.34026); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 3, 276--279 (2014) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. A generalization of Borg’s uniqueness theorems for a symmetric potential to general boundary conditions. (English. Russian original) Zbl 1318.34027 Dokl. Math. 90, No. 2, 565-568 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 264-267 (2014). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 90, No. 2, 565--568 (2014; Zbl 1318.34027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 264--267 (2014) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Generalization of B.M. Levitan and M.G. Gasymov’s solvability theorems to the case of indecomposable boundary conditions. (English. Russian original) Zbl 1258.34037 Dokl. Math. 85, No. 2, 289-291 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 6, 668-670 (2012). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34A55 34B05 34B24 34L20 34L40 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 85, No. 2, 289--291 (2012; Zbl 1258.34037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 6, 668--670 (2012) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Generalizations of the Borg uniqueness theorem to the case of nonseparated boundary conditions. (English. Russian original) Zbl 1254.34025 Dokl. Math. 83, No. 3, 302-305 (2011); translation from Dokl. Akad. Nauk 438, No. 1, 26-29 (2011). Reviewer: Amin Boumenir (Carrollton) MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 83, No. 3, 302--305 (2011; Zbl 1254.34025); translation from Dokl. Akad. Nauk 438, No. 1, 26--29 (2011) Full Text: DOI
Myakinova, O. V.; Sultanaev, Ya. T. Asymptotics of the spectrum of a singular nonsemibounded fourth-order vector differential operator in a vector function space. (English. Russian original) Zbl 1204.47055 Dokl. Math. 81, No. 3, 348-350 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 1, 18-20 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 47E05 34B24 34L10 PDFBibTeX XMLCite \textit{O. V. Myakinova} and \textit{Ya. T. Sultanaev}, Dokl. Math. 81, No. 3, 348--350 (2010; Zbl 1204.47055); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 1, 18--20 (2010) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Valeev, N. F. Multiparameter inverse spectral problems and their applications. (English. Russian original) Zbl 1180.47007 Dokl. Math. 79, No. 3, 390-393 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 4, 457-460 (2009). Reviewer: Vjacheslav Yurko (Saratov) MSC: 47A10 47E05 34A55 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 79, No. 3, 390--393 (2009; Zbl 1180.47007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 4, 457--460 (2009) Full Text: DOI
Sadovnichiĭ, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Inverse problem for an operator pencil with nonseparated boundary conditions. (English. Russian original) Zbl 1347.34046 Dokl. Math. 79, No. 2, 169-171 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 1, 31-33 (2009). MSC: 34B24 34L99 PDFBibTeX XMLCite \textit{V. A. Sadovnichiĭ} et al., Dokl. Math. 79, No. 2, 169--171 (2009; Zbl 1347.34046); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 1, 31--33 (2009) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. The inverse Sturm-Liouville problem with generalized periodic boundary conditions. (English. Russian original) Zbl 1221.34043 Dokl. Math. 78, No. 1, 582-584 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 5, 599-601 (2008). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 78, No. 1, 582--584 (2008; Zbl 1221.34043); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 5, 599--601 (2008) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Solvability of the inverse Sturm-Liouville problem with indecomposable boundary conditions. (English. Russian original) Zbl 1327.34030 Dokl. Math. 75, No. 1, 20-22 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 1, 26-28 (2007). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 75, No. 1, 20--22 (2007; Zbl 1327.34030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 1, 26--28 (2007) Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. The inverse Sturm-Liouville problem: Uniqueness theorems and counterexamples. (English. Russian original) Zbl 1208.34011 Dokl. Math. 74, No. 3, 889-892 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 747-750 (2006). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 74, No. 3, 889--892 (2006; Zbl 1208.34011); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 747--750 (2006) Full Text: DOI
Sadovnichiĭ, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Well-posedness of the inverse Sturm-Liouville problem with indecomposable boundary conditions. (English. Russian original) Zbl 1282.34023 Dokl. Math. 69, No. 2, 253-256 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 5, 592-595 (2004). MSC: 34A55 34L40 34B24 PDFBibTeX XMLCite \textit{V. A. Sadovnichiĭ} et al., Dokl. Math. 69, No. 2, 253--256 (2004; Zbl 1282.34023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 5, 592--595 (2004)
Valeev, N. F.; Sultanaev, Ya. T. On the deficiency indices of the singular Sturm-Liouville operator with rapidly oscillating perturbation. (English. Russian original) Zbl 1058.47504 Dokl. Math. 62, No. 2, 271-273 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 6, 732-734 (2000). MSC: 47E05 34B24 34L05 PDFBibTeX XMLCite \textit{N. F. Valeev} and \textit{Ya. T. Sultanaev}, Dokl. Math. 62, No. 2, 732--734 (2000; Zbl 1058.47504); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 6, 732--734 (2000)
Sadovnichij, V. A.; Sultanaev, Ya. T.; Akhtyamov, A. M. Analogues of Borg’s uniqueness theorem in the case of nonseparated boundary conditions. (English. Russian original) Zbl 0967.34014 Dokl. Math. 60, No. 1, 115-117 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 6, 739-741 (1999). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34B24 34A55 PDFBibTeX XMLCite \textit{V. A. Sadovnichij} et al., Dokl. Math. 60, No. 1, 739--741 (1999; Zbl 0967.34014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 6, 739--741 (1999)
Gaidamak, O. G.; Sultanaev, Ya. T. The asymptotics of the spectrum of a quadratic pencil of differential operators. (English. Russian original) Zbl 0894.47014 Dokl. Math. 54, No. 3, 865-866 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 297-298 (1996). MSC: 47A56 47A10 47E05 34L05 PDFBibTeX XMLCite \textit{O. G. Gaidamak} and \textit{Ya. T. Sultanaev}, Dokl. Math. 54, No. 3, 865--866 (1996; Zbl 0894.47014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 297--298 (1996)