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Found 13 Documents (Results 1–13)

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).
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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).
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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
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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).
MSC:  34L20 34B05
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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).
MSC:  34B24 34B60 34L20
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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
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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
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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).
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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).
MSC:  58J50 58J37 35J05
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