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Found 66 Documents (Results 1–66)

Quasi-normal forms in the problem of vibrations of Pedestrian bridges. (English. Russian original) Zbl 1504.35047

Dokl. Math. 106, No. 2, 343-347 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49-53 (2022).
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On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser. (English. Russian original) Zbl 1504.35297

Dokl. Math. 105, No. 2, 78-83 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 33-39 (2022).
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Construction of families of equations to describe irregular solutions in the Fermi-Pasta-Ulam problem. (English. Russian original) Zbl 1507.35238

Dokl. Math. 104, No. 3, 360-364 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 52-56 (2021).
MSC:  35Q53 35Q55 35B40
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Dependence of the dynamics of a model of coupled oscillators on the number of oscillators. (English. Russian original) Zbl 07503278

Dokl. Math. 104, No. 3, 355-359 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 46-51 (2021).
MSC:  34K25 34K24
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Asymptotics of the independence number of a random subgraph of the graph \(G(n, r, < s)\). (English. Russian original) Zbl 1478.05137

Dokl. Math. 104, No. 1, 173-174 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 17-19 (2021).
MSC:  05C80 05C60 05D40
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The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. (English. Russian original) Zbl 1377.35062

Dokl. Math. 96, No. 1, 406-410 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 624-628 (2016).
MSC:  35J05
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On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function. (English. Russian original) Zbl 1495.45001

Dokl. Math. 96, No. 1, 389-392 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 614-617 (2016).
MSC:  45C05 44A35
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The Lyusternik-Sobolev lemma and the specific asymptotic stability of solutions of linear homogeneous Volterra-type integro-differential equations of order 3. (English. Russian original) Zbl 1354.45002

Dokl. Math. 94, No. 1, 418-422 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 4, 397-401 (2016).
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Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006

Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015).
MSC:  33C47 15B52
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Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). (English. Russian original) Zbl 1332.35031

Dokl. Math. 92, No. 1, 464-470 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 4, 395-401 (2015).
MSC:  35B27 35J92 35J66
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Buffer phenomenon and chaos in circular chains of unidirectionally coupled oscillators. (English. Russian original) Zbl 1326.34064

Dokl. Math. 90, No. 1, 509-512 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 3, 278-281 (2014).
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The role of perturbations in the Cauchy problem for equations with a Fredholm operator multiplying the derivative. (English. Russian original) Zbl 1302.34095

Dokl. Math. 89, No. 1, 72-75 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 383-386 (2014).
MSC:  34G10 34E10 34A09
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On spectral properties of certain regular boundary value problems for higher-order differential operators. (English. Russian original) Zbl 1297.34024

Dokl. Math. 88, No. 3, 645-648 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 131-135 (2013).
MSC:  34B05 34L10 34L20
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Asymptotics of solutions of differential equations with degeneracies in the case of resonance. (English. Russian original) Zbl 1286.35067

Dokl. Math. 87, No. 2, 164-166 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 259-262 (2013).
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Degenerate resonances and their stability in two-dimensional systems with small negative divergence. (English. Russian summary) Zbl 1270.34092

Dokl. Math. 86, No. 3, 784-786 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 3, 262-264 (2012).
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Spectrum asymptotics of a perturbed Laplace-Beltrami operator on a three-dimensional sphere. (English. Russian original) Zbl 1242.47037

Dokl. Math. 84, No. 3, 824-825 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 442-443 (2011).
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Asymptotic integration of nonoscillatory second-order differential equations. (English. Russian original) Zbl 1228.34073

Dokl. Math. 82, No. 2, 751-754 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 315-318 (2010).
Reviewer: Fei Xue (Hartford)
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Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics. (English. Russian original) Zbl 1228.45020

Dokl. Math. 82, No. 2, 684-687 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 1, 12-15 (2010).
MSC:  45N05 45K05 45M05 44A10 80A20 76Q05 47G20
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Asymptotics of Kolmogorov’s \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko’s problem). (English. Russian original) Zbl 1211.42001

Dokl. Math. 81, No. 2, 293-297 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 6, 731-735 (2010).
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Asymptotics of the optimal cost functional in a linear optimal control problem. (English. Russian original) Zbl 1190.49039

Dokl. Math. 80, No. 1, 478-481 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151-154 (2009).
MSC:  49M30 90C25
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One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line. (English. Russian original) Zbl 1186.45006

Dokl. Math. 80, No. 3, 872-876 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 595-599 (2009).
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Asymptotic forms of solutions to the fourth Painlevé equation. (English. Russian original) Zbl 1221.34238

Dokl. Math. 78, No. 3, 868-873 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 4, 443-448 (2008).
MSC:  34M55 34A25 34M30
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On Yu. A. Mitropol’skii’s theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides. (English. Russian original) Zbl 1221.34108

Dokl. Math. 78, No. 1, 525-527 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 3, 302-304 (2008).
MSC:  34C25 34C29 34E10
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Singular initial value problem for a system of ordinary differential equations with a small parameter. (English. Russian original) Zbl 1203.34078

Dokl. Math. 78, No. 2, 729-732 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 4, 455-458 (2008).
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Asymptotic behavior of the spectrum of perturbed fractional powers of differential operators. (English. Russian original) Zbl 1287.34075

Dokl. Math. 77, No. 2, 198-202 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 2, 164-168 (2008).
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On a parameter-based asymptotics of solutions to differential equations with coefficients from \(L_{2}(a, b)\). (English. Russian original) Zbl 1159.34004

Dokl. Math. 77, No. 2, 166-169 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 1, 10-13 (2008).
MSC:  34A30 34E10
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On the concentration of spectrum in the model problem of singular perturbation theory. (English. Russian original) Zbl 1167.34395

Dokl. Math. 75, No. 2, 197-200 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 27-30 (2007).
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All asymptotic expansions of solutions to the sixth Painlevé equation. (English. Russian original) Zbl 1158.34347

Dokl. Math. 76, No. 3, 851-855 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 3, 298-302 (2007).
MSC:  34M55 34M25 34M30
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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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Asymptotic behavior of the solution to a differential equation with a small parameter when the stability lines of the limit solution intersect. (English. Russian original) Zbl 1327.34105

Dokl. Math. 73, No. 3, 388-390 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 443-445 (2006).
MSC:  34E10
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The \(p\)-regularity theory and Poincaré’s small parameter method. (English. Russian original) Zbl 1208.34089

Dokl. Math. 74, No. 3, 869-873 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 727-731 (2006).
MSC:  34E10 34B15 47J07
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Instability of distributed nonconservative systems caused by weak dissipation. (English. Russian original) Zbl 1272.70082

Dokl. Math. 71, No. 3, 470-475 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460-466 (2005).
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Spectral asymptotics for elliptic systems of differential operators with piecewise continuous coefficients and for elliptic problems with indefinite weight. (English. Russian original) Zbl 1163.35359

Dokl. Math. 72, No. 2, 702-704 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 404, No. 3, 300-303 (2005).
MSC:  35J45 35J55 35P20 47F05
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Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws. (English. Russian original) Zbl 1129.35440

Dokl. Math. 69, No. 1, 4-8 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 10-14 (2004).
MSC:  35L67 35L65 35L45
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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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On the spectral asymptotics and summability by the Abel method of series in a system of root vector functions of nonsmooth elliptic differential operators that are far from selfadjoint. (English. Russian original) Zbl 1060.35093

Dokl. Math. 61, No. 3, 376-379 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 4, 442-445 (2000).
MSC:  35P20 47F05
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On perturbations of a class of systems of differential equations containing resonances. (English. Russian original) Zbl 1049.34065

Dokl. Math. 61, No. 1, 34-36 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 161-163 (2000).
MSC:  34E10 34E05
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Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. (English. Russian original) Zbl 0961.35103

Dokl. Math. 60, No. 1, 133-135 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461-463 (1999).
MSC:  35Q30 76D05
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Wiener-type theorems for generalized functions and the Stieltjes transform. (English. Russian original) Zbl 0962.46030

Dokl. Math. 58, No. 3, 372-375 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 156-159 (1998).
MSC:  46F12 44A15
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The complex germ in the relativistic field theory. (English. Russian original) Zbl 0961.58017

Dokl. Math. 57, No. 1, 140-143 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 3, 319-322 (1998).
MSC:  58J90 81T99 58J37
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On the universal asymptotics of admissible sets under relaxation of integral constraints and its representation in the class of finitely additive measures. (English. Russian original) Zbl 0962.49009

Dokl. Math. 57, No. 1, 34-37 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 2, 165-168 (1998).
MSC:  49J45 49Q20 93B03
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The Floquet theory for the Schrödinger operator with a perturbed periodic potential and precise spectral asymptotics. (English. Russian original) Zbl 1050.35508

Dokl. Math. 56, No. 1, 488-491 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 1, 21-24 (1997).
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Spectral properties of ordinary differential operators generated by noncoercive forms. (English. Russian original) Zbl 0966.47026

Dokl. Math. 55, No. 1, 68-71 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 4, 439-442 (1997).
MSC:  47E05 34L05
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The spectrum of the system of \(N\) bosons for \(N\to \infty\). (English. Russian original) Zbl 0898.47050

Dokl. Math. 53, No. 3, 434-437 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 169-172 (1996).
MSC:  47N50 81Q10 81Q20
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A complete asymptotics of the solution of the Dirichlet problem for a two-dimensional Laplace equation with rapidly oscillating boundary data. (English. Russian original) Zbl 0887.35023

Dokl. Math. 53, No. 1, 81-83 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 6, 732-734 (1996).
MSC:  35B40 35J25 35B20
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Asymptotics of the solution to the mixed problem for the kinetic equation of neutron transport. (English. Russian original) Zbl 0882.45010

Dokl. Math. 51, No. 1, 142-145 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 4, 476-479 (1995).
Reviewer: S.Mika (Plzeň)
MSC:  45K05 45M05 82C70
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Bahavior at infinity of solutions to one class of nonlinear elliptic equations in a tube domain. (English. Russian original) Zbl 0878.35018

Dokl. Math. 51, No. 2, 227-230 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 4, 446-449 (1995).
MSC:  35B40 35J65
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Spectrum of a system of \(N\) fermions as \(N\to\infty\). (English. Russian original) Zbl 0879.47050

Dokl. Math. 52, No. 2, 186-189 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 2, 158-161 (1995).
Reviewer: W.Stulpe (Berlin)
MSC:  47N50 81V70
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