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Found 21 Documents (Results 1–21)

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
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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).
MSC:  34A55 34B09 34L05
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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).
MSC:  34B45 34B24 34L05
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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).
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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).
MSC:  34A55 47E05 34B09
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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).
MSC:  34A55 34B24 47E05
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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).
MSC:  34A55 34B24
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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
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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).
MSC:  34A55 34B24 47E05
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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).
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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).
MSC:  34A55 34B24
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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).
MSC:  47E05 34B24 34L10
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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).
MSC:  47A10 47E05 34A55
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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
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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
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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
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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
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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
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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
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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).
MSC:  34B24 34A55
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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).
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