Kolesov, Andrei Yu.; Rozov, Nikolai Kh.; Sadovnichii, Victor A. Periodic solutions of travelling-wave type in circular gene networks. (English. Russian original) Zbl 1383.34062 Izv. Math. 80, No. 3, 523-548 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 67-94 (2016). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 92B20 47N20 34C05 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} et al., Izv. Math. 80, No. 3, 523--548 (2016; Zbl 1383.34062); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 67--94 (2016) Full Text: DOI
Sadovnichii, V. A.; Chechkina, A. G. On estimate of eigenfunctions of the Steklov-type problem with a small parameter in the case of limit spectrum degeneration. (Russian. English summary) Zbl 1249.35083 Ufim. Mat. Zh. 3, No. 3, 127-139 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J25 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} and \textit{A. G. Chechkina}, Ufim. Mat. Zh. 3, No. 3, 127--139 (2011; Zbl 1249.35083)
Murtazin, Kh. Kh.; Sadovnichii, V. A.; Tul’kubaev, R. Z. Spectral asymptotics and trace formulas for differential operators with unbounded coefficients. (English) Zbl 1205.34118 Differ. Equ. 44, No. 12, 1691-1700 (2008). Reviewer: Manfred Möller (Johannesburg) MSC: 34L20 34B09 34B24 47E05 PDFBibTeX XMLCite \textit{Kh. Kh. Murtazin} et al., Differ. Equ. 44, No. 12, 1691--1700 (2008; Zbl 1205.34118) Full Text: DOI
Murtazin, Kh. Kh.; Sadovnichii, V. A.; Tul’kubaev, R. Z. The asymptotic behavior of the spectrum trace formulas for differential operators with unbounded coefficients. (English. Russian original) Zbl 1166.34333 Dokl. Math. 76, No. 2, 762-766 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 6, 740-744 (2007). Reviewer: Bruce A. Watson (Wits) MSC: 34L20 34B24 34B27 34B05 34B20 PDFBibTeX XMLCite \textit{Kh. Kh. Murtazin} et al., Dokl. Math. 76, No. 2, 762--766 (2007; Zbl 1166.34333); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 6, 740--744 (2007) Full Text: DOI
Sadovnichii, V. A.; Fazullin, Z. Yu. A cluster asymptotics for the eigenvalues of a perturbation of the Laplace operator on the sphere \(S^2\). (English. Russian original) Zbl 1127.35350 Dokl. Math. 68, No. 1, 93-96 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 456-459 (2003). MSC: 35P20 35J05 35B20 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} and \textit{Z. Yu. Fazullin}, Dokl. Math. 68, No. 1, 93--96 (2003; Zbl 1127.35350); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 456--459 (2003)
Vinokurov, V. A.; Sadovnichii, V. A. The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions. (English. Russian original) Zbl 1043.34092 Differ. Equ. 38, No. 6, 772-789 (2002); translation from Differ. Uravn. 38, No. 6, 735-751 (2002). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L20 34B05 PDFBibTeX XMLCite \textit{V. A. Vinokurov} and \textit{V. A. Sadovnichii}, Differ. Equ. 38, No. 6, 772--789 (2002; Zbl 1043.34092); translation from Differ. Uravn. 38, No. 6, 735--751 (2002) Full Text: DOI
Vinokurov, V. A.; Sadovnichij, V. A. Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential. (English. Russian original) Zbl 1001.34021 Izv. Math. 64, No. 4, 695-754 (2000); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 4, 47-108 (2000). Reviewer: S.Carmi (Baltimore) MSC: 34B24 34B60 34L20 PDFBibTeX XMLCite \textit{V. A. Vinokurov} and \textit{V. A. Sadovnichij}, Izv. Math. 64, No. 4, 695--754 (2000; Zbl 1001.34021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 4, 47--108 (2000) Full Text: DOI
Vinokurov, V. A.; Sadovnichij, V. A. Arbitrary-order asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem with integrable potential on a closed interval. (English. Russian original) Zbl 0953.34019 Differ. Equations 34, No. 10, 1425-1429 (1998); translation from Differ. Uravn. 34, No. 10, 1423-1426 (1998). MSC: 34B24 34L20 PDFBibTeX XMLCite \textit{V. A. Vinokurov} and \textit{V. A. Sadovnichij}, Differ. Equations 34, No. 10, 1425--1429 (1998; Zbl 0953.34019); translation from Differ. Uravn. 34, No. 10, 1423--1426 (1998)
Sadovnichij, V. A.; Dubrovskij, V. V.; Nagornyj, A. V. The asymptotic behavior of the spectral function of an operator in \(L^ p\) with discrete spectrum. (English. Russian original) Zbl 0835.58036 J. Math. Sci., New York 69, No. 3, 1065-1067 (1994); translation from Tr. Semin. Im. I. G. Petrovsk. 16, 182-185 (1992). MSC: 58J37 46E30 PDFBibTeX XMLCite \textit{V. A. Sadovnichij} et al., J. Math. Sci., New York 69, No. 3, 1065--1067 (1994; Zbl 0835.58036); translation from Tr. Semin. Im. I. G. Petrovsk. 16, 182--185 (1992) Full Text: DOI
Sadovnichij, V. A.; Dubrovskij, V. V.; Nagornyj, A. V. Asymptotics for the spectral function of an operator with discrete spectrum in \(L^ p\). (Russian. English summary) Zbl 0791.58093 Tr. Semin. Im. I. G. Petrovsk. 16, 182-185 (1992). MSC: 58J37 46E30 PDFBibTeX XMLCite \textit{V. A. Sadovnichij} et al., Tr. Semin. Im. I. G. Petrovskogo 16, 182--185 (1992; Zbl 0791.58093)
Sadovnichij, V. A.; Dubrovskij, V. V. A classical regularized trace formula for the eigenvalues of the Laplace- Beltrami operator with a potential on the sphere \(S^ 2\). (English. Russian original) Zbl 0789.35129 Sov. Math., Dokl. 44, No. 1, 56-58 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 61-62 (1991). MSC: 35P99 35J05 47F05 35R30 PDFBibTeX XMLCite \textit{V. A. Sadovnichij} and \textit{V. V. Dubrovskij}, Sov. Math., Dokl. 44, No. 1, 56--58 (1991; Zbl 0789.35129); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 61--62 (1991)
Sadovnichij, V. A.; Dubrovskij, V. V. A formula for the first regularized trace of the Laplace-Beltrami operator with a potential. (English. Russian original) Zbl 0789.58074 Sov. Math., Dokl. 43, No. 3, 794-796 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 4, 825-827 (1991). Reviewer: J.Eichhorn (Greifswald) MSC: 58J50 58J37 35J05 PDFBibTeX XMLCite \textit{V. A. Sadovnichij} and \textit{V. V. Dubrovskij}, Sov. Math., Dokl. 43, No. 3, 794--796 (1991; Zbl 0789.58074); translation from Dokl. Akad. Nauk SSSR 318, No. 4, 825--827 (1991)
Dubrovskij, V. V.; Sadovnichij, V. A. Relations between eigenvalues of discrete operators. Trace formulas for partial differential operators. (English. Russian original) Zbl 0402.47009 Differ. Equations 13, 1416-1423 (1977); translation from Differ. Uravn. 13, 2033-2042 (1977). MSC: 47A55 35P15 PDFBibTeX XMLCite \textit{V. V. Dubrovskij} and \textit{V. A. Sadovnichij}, Differ. Equations 13, 1416--1423 (1977; Zbl 0402.47009); translation from Differ. Uravn. 13, 2033--2042 (1977)