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Found 159 Documents (Results 1–100)

Asymptotics of the solution of an initial-boundary value problem for the one-dimensional Klein-Gordon equation on the half-line. (English. Russian original) Zbl 07761793

Math. Notes 114, No. 4, 608-618 (2023); translation from Mat. Zametki 114, No. 4, 602-614 (2023).
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Asymptotics in the spectral parameter for solutions of \(2 \times 2\) systems of ordinary differential equations. (English. Russian original) Zbl 07761784

Math. Notes 114, No. 4, 472-488 (2023); translation from Mat. Zametki 114, No. 4, 543-562 (2023).
MSC:  34B09 34A30 34E05
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Solution of the quantum three-body problem in a neighborhood of the three-particle forward scattering direction. (English. Russian original) Zbl 1521.81414

Math. Notes 113, No. 3, 327-338 (2023); translation from Mat. Zametki 113, No. 3, 332-346 (2023).
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On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 1517.81051

Math. Notes 112, No. 5, 623-641 (2022); translation from Mat. Zametki 112, No. 5, 644-664 (2022).
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Local dynamics of a singularly perturbed second order equation with state-dependent delay. (English. Russian original) Zbl 1501.34062

Math. Notes 111, No. 5, 818-822 (2022); translation from Mat. Zametki 111, No. 5, 795-799 (2022).
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Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass. (English. Russian original) Zbl 1486.81113

Math. Notes 111, No. 2, 173-192 (2022); translation from Mat. Zametki 111, No. 2, 163-187 (2022).
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Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations. (English. Russian original) Zbl 1494.34087

Math. Notes 110, No. 6, 967-971 (2021); translation from Mat. Zametki 110, No. 6, 939-943 (2021).
MSC:  34B09 34B05 34L10
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Asymptotics of the head wave in the Cauchy problem for a difference scheme corresponding to the two-dimensional wave equation with localized initial data. (English. Russian original) Zbl 1482.65154

Math. Notes 109, No. 6, 918-931 (2021); translation from Mat. Zametki 109, No. 6, 884-900 (2021).
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Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. (English. Russian original) Zbl 1483.53094

Math. Notes 108, No. 3, 318-338 (2020); translation from Mat. Zametki 108, No. 3, 334-359 (2020).
MSC:  53D12 41A60
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Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets. (English. Russian original) Zbl 07215596

Math. Notes 107, No. 5, 858-862 (2020); translation from Mat. Zametki 107, No. 5, 791-795 (2020).
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The leading term of the asymptotics of solutions of linear differential equations with first-order distribution coefficients. (English. Russian original) Zbl 1431.34016

Math. Notes 106, No. 1, 81-88 (2019); translation from Mat. Zametki 106, No. 1, 74-83 (2019).
MSC:  34A30 34D05
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On Hamiltonian systems integrable in elliptic functions that describe waves over underwater banks and ridges. (English. Russian original) Zbl 1428.35346

Math. Notes 105, No. 6, 917-922 (2019); translation from Mat. Zametki 105, No. 6, 926-931 (2019).
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Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom. (English. Russian original) Zbl 1415.35226

Math. Notes 104, No. 6, 915-921 (2018); translation from Mat. Zametki 104, No. 6, 930-936 (2018).
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Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. (English. Russian original) Zbl 1420.35151

Math. Notes 104, No. 4, 471-488 (2018); translation from Mat. Zametki 104, No. 4, 483-504 (2018).
MSC:  35L20 35B40
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On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. (English. Russian original) Zbl 1403.34060

Math. Notes 104, No. 2, 244-252 (2018); translation from Mat. Zametki 104, No. 2, 231-242 (2018).
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Application of the averaging principle to the study of the dynamics of the delay logistic equation. (English. Russian original) Zbl 1409.34067

Math. Notes 104, No. 2, 231-243 (2018); translation from Mat. Zametki 104, No. 2, 216-230 (2018).
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Asymptotics of solutions of matrix differential equations with nonsmooth coefficients. (English. Russian original) Zbl 1404.34095

Math. Notes 104, No. 1, 150-155 (2018); translation from Mat. Zametki 104, No. 1, 148-153 (2018).
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Asymptotic solution of the Cauchy problem for a first-order equation with a small parameter in a Banach space. The regular case. (English. Russian original) Zbl 1396.34040

Math. Notes 103, No. 3, 395-404 (2018); translation from Mat. Zametki 103, No. 3, 392-403 (2018).
MSC:  34E05 34E10 34G10
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Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations. (English. Russian original) Zbl 1380.45004

Math. Notes 102, No. 1, 22-30 (2017); translation from Mat. Zametki 102, No. 1, 28-38 (2017).
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Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. (English. Russian original) Zbl 1516.35040

Math. Notes 101, No. 6, 1053-1060 (2017); translation from Mat. Zametki 101, No. 6, 936-942 (2017).
MSC:  35B25 35C20 35Q35
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Asymptotic integration of a singularly perturbed Volterra equation in the case of a spectral singularity of first order. (English. Russian original) Zbl 1372.45003

Math. Notes 101, No. 5, 824-829 (2017); translation from Mat. Zametki 101, No. 5, 716-722 (2017).
MSC:  45D05 45M05
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Behavior of the solution of the Cauchy problem for a hyperbolic equation with periodic coefficients. (English. Russian original) Zbl 1362.35168

Math. Notes 100, No. 5, 751-754 (2016); translation from Mat. Zametki 100, No. 5, 766-769 (2016).
MSC:  35L15 35C10 35B40
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Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. (English. Russian original) Zbl 1362.35170

Math. Notes 100, No. 5, 695-713 (2016); translation from Mat. Zametki 100, No. 5, 710-731 (2016).
MSC:  35L20 35L80 35B40
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Asymptotics of solutions of a class of linear differential equations with nonsmooth coefficients. (English. Russian original) Zbl 1359.34017

Math. Notes 100, No. 2, 334-340 (2016); translation from Mat. Zametki 100, No. 2, 312-317 (2016).
MSC:  34A30 34A36 34D05
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On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation. (English. Russian original) Zbl 1347.34093

Math. Notes 99, No. 2, 210-221 (2016); translation from Mat. Zametki 99, No. 2, 201-214 (2016).
MSC:  34E05 34B15 34E15
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Asymptotics of solutions of Volterra integral equations with difference kernel. (English. Russian original) Zbl 1320.45008

Math. Notes 97, No. 3, 396-401 (2015); translation from Mat. Zametki 97, No. 3, 421-427 (2015).
MSC:  45M05 45D05
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The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. (English. Russian original) Zbl 1330.53108

Math. Notes 96, No. 2, 248-260 (2014); translation from Mat. Zametki 96, No. 2, 261-276 (2014).
MSC:  53D12 35L05
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Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution. (English. Russian original) Zbl 1315.35162

Math. Notes 95, No. 3, 374-387 (2014); translation from Mat. Zametki 95, No. 3, 417-432 (2014).
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A boundary function method for solving the model Lighthill equation with a regular singular point. (English. Russian original) Zbl 1267.34101

Math. Notes 92, No. 6, 751-755 (2012); translation from Mat. Zametki 92, No. 6, 819-824 (2012).
MSC:  34E10 34A12
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The problem of the number of integer points in families of anisotropically expanding domains, with applications to spectral theory. (English. Russian original) Zbl 1290.11133

Math. Notes 92, No. 4, 574-576 (2012); translation from Mat. Zametki 92, No. 4, 632-635 (2012).
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The Regev conjecture and cocharacters for identities of associative algebras of PI-exponent 1 and 2. (English. Russian original) Zbl 1166.16012

Math. Notes 83, No. 6, 744-752 (2008); translation from Mat. Zametki 83, No. 6, 815-824 (2008).
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Semiclassical spectrum of the Schrödinger operator on a geometric graph. (English. Russian original) Zbl 1160.47022

Math. Notes 82, No. 4, 542-554 (2007); translation from Mat. Zametki 82, No. 4, 606-620 (2007).
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The method of structure matching of the solution of the model Lighthill equation with a regular singular point. (English. Russian original) Zbl 1155.34334

Math. Notes 79, No. 5, 597-605 (2006); translation from Mat. Zametki 79, No. 5, 643-652 (2006).
MSC:  34E05 34E10 34A34
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Construction of the asymptotics of the solutions of the one-dimensional Schrödinger equation with rapidly oscillating potential. (English. Russian original) Zbl 1117.34051

Math. Notes 80, No. 2, 233-243 (2006); translation from Mat. Zametki 80, No. 2, 240-250 (2006).
MSC:  34E05 34E10 34L40
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