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Found 130 Documents (Results 1–100)

On analytic perturbations of linear equations in the case of incomplete generalized Jordan set. (English. Russian original) Zbl 07805794

J. Math. Sci., New York 278, No. 4, 633-646 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 80-94 (2022).
MSC:  47Axx 47Bxx 34Bxx
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Equations related to stochastic processes: semigroup approach and Fourier transform. (English. Russian original) Zbl 07798855

J. Math. Sci., New York 278, No. 1, 115-138 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 2, 324-348 (2021).
MSC:  60-XX 00Axx 60Hxx
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Influence of concentrated forces and heat sources on the distribution of stresses in the interface of two different transversely isotropic half spaces. (English. Ukrainian original) Zbl 07798232

J. Math. Sci., New York 274, No. 5, 730-745 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 124-136 (2021).
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Nonstationary temperature distribution in a thermally insulated concentric cylindrical channel with biomass moving under the influence of rotation of an electrically heated helix. (English. Ukrainian original) Zbl 07798231

J. Math. Sci., New York 274, No. 5, 708-729 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 107-123 (2021).
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Determination of the static thermoelastic state of layered thermosensitive plate, cylinder, and sphere. (English. Ukrainian original) Zbl 07798230

J. Math. Sci., New York 274, No. 5, 678-707 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 87-106 (2021).
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Modeling of deformable thermoelastic thread-like inclusions in isotropic media. (English. Ukrainian original) Zbl 07798229

J. Math. Sci., New York 274, No. 5, 660-677 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 73-86 (2021).
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Generalized method of finite integral transformations in linear and nonlinear static problems for shallow shells. (English. Ukrainian original) Zbl 07798227

J. Math. Sci., New York 274, No. 5, 618-640 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 35-53 (2021).
MSC:  74K25 74G10
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Application of the variational method of homogeneous solutions in the axisymmetric problem of the theory of elasticity for a finite cylinder with regard for its own weight. (English. Ukrainian original) Zbl 07798210

J. Math. Sci., New York 277, No. 1, 153-172 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 130-144 (2021).
MSC:  74B05 74G10
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Stress state near cracks originating from the edges of a thin rigid inclusion caused by the action of longitudinal shear waves. (English. Ukrainian original) Zbl 07798206

J. Math. Sci., New York 277, No. 1, 109-120 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 94-102 (2021).
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Static problems of thermoelasticity for a layered functionally graded thermosensitive cylinder. (English. Ukrainian original) Zbl 07798204

J. Math. Sci., New York 277, No. 1, 79-94 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 70-81 (2021).
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Three-dimensional dynamic analysis of layered elastic shells. (English. Ukrainian original) Zbl 1521.74075

J. Math. Sci., New York 273, No. 6, 999-1015 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 96-108 (2020).
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Plane contact problems for an elastic foundation with two bedding coefficients. (English. Ukrainian original) Zbl 1522.74084

J. Math. Sci., New York 273, No. 1, 153-162 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 130-135 (2020).
MSC:  74M15 74G10 74G15
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Thermoelastic state of a thermosensitive half space and a thermosensitive layer in contact under the conditions of complex heat exchange. (English. Ukrainian original) Zbl 1522.74026

J. Math. Sci., New York 273, No. 1, 132-143 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 113-122 (2020).
MSC:  74F05 74H10 74H15
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Influence of a thin metal interlayer on the propagation of Bleustein-Gulyaev-type waves in peizoelectric bodies. (English. Ukrainian original) Zbl 1522.74057

J. Math. Sci., New York 273, No. 1, 44-50 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 40-45 (2020).
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Asymptotic solutions of singularly perturbed differential algebraic equations with turning points. (English. Ukrainian original) Zbl 1523.34011

J. Math. Sci., New York 273, No. 2, 271-289 (2023); translation from Neliniĭni Kolyvannya 24, No. 4, 518-534 (2021).
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Analysis of critical phenomena in a dynamic system under the influence of random perturbations. (English. Russian original) Zbl 1515.35279

J. Math. Sci., New York 272, No. 6, 783-790 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 36-43 (2020).
MSC:  35Q92 35R60
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On the equilibrium of nonthin cylindrical shells with a dent. (English. Ukrainian original) Zbl 1515.74052

J. Math. Sci., New York 272, No. 1, 80-92 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 72-82 (2020).
MSC:  74K25 74G10
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Two-dimensional dynamic problems of the theory of elasticity reduced to singular integral equations with immobile singularities. (English. Ukrainian original) Zbl 1512.74009

J. Math. Sci., New York 270, No. 1, 107-122 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 94-105 (2020).
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Asymptotic approach in the dynamic problems of the theory of elasticity for bodies with thin elastic inclusions. (English. Ukrainian original) Zbl 1512.74008

J. Math. Sci., New York 270, No. 1, 87-106 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 75-93 (2020).
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Singular finite-rank nonsymmetric perturbations of a self-adjoint operator. (English. Ukrainian original) Zbl 1523.47037

J. Math. Sci., New York 270, No. 2, 250-262 (2023); translation from Neliniĭni Kolyvannya 24, No. 2, 158-169 (2021).
MSC:  47B25 47A55 47A10
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Singular perturbations in first-order partial differential equations with matrix differential operators. (English. Russian original) Zbl 1509.35024

J. Math. Sci., New York 268, No. 1, 130-137 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 132-139 (2019).
MSC:  35B25 35F40 35R20
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Asymptotic solutions of resonant nonlinear singularly perturbed problems in the case of intersecting eigenvalues of the limit operator. (English. Russian original) Zbl 1514.34093

J. Math. Sci., New York 268, No. 1, 1-14 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 3-16 (2019).
MSC:  34E15 34E05 34C20
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Multiparameter eigenvalue problems and their applications in electrodynamics. (English. Russian original) Zbl 07621838

J. Math. Sci., New York 267, No. 6, 677-697 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 172, 9-29 (2019).
MSC:  47H14 35P30 35Q61
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Semiclassical asymptotics of the spectrum of a two-dimensional Hartree type operator near boundaries of spectral clusters. (English. Russian original) Zbl 1500.81036

J. Math. Sci., New York 264, No. 5, 617-632 (2022); translation from Probl. Mat. Anal. 116, 119-133 (2022).
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On spectral properties of a certain class of perturbed operators. (English. Russian original) Zbl 1493.47012

J. Math. Sci., New York 263, No. 5, 653-665 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 171, 57-69 (2019).
MSC:  47A55 47B06 47B37
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Parameter stability under permanent perturbations. (English. Russian original) Zbl 1504.34059

J. Math. Sci., New York 262, No. 6, 773-778 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 9-14 (2019).
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Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of the stability dynamics of circular cylindrical shells. (English. Russian original) Zbl 1491.74049

J. Math. Sci., New York 261, No. 2, 276-304 (2022); translation from Neliniĭni Kolyvannya 23, No. 3, 363-388 (2020).
MSC:  74H55 74K25 74H10
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Asymptotic soliton-like solutions to the Benjamin-Bona-Mahony equation with variable coefficients and a strong singularity. (English. Russian original) Zbl 1487.35346

J. Math. Sci., New York 258, No. 3, 326-337 (2021); translation from Ukr. Mat. Visn. 18, No. 2, 226-242 (2021).
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On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with distant perturbations. (English. Russian original) Zbl 1473.35034

J. Math. Sci., New York 258, No. 1, 1-12 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 3-14 (2019).
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Influence of a nonstationary surface load on an elastic porous half-space. (English. Russian original) Zbl 1470.74023

J. Math. Sci., New York 257, No. 1, 105-113 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 105-113 (2019).
MSC:  74F10 74H10 74H15
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Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation. (English. Russian original) Zbl 1468.70011

J. Math. Sci., New York 255, No. 6, 741-752 (2021); translation from Probl. Mat. Anal. 110, 59-69 (2021).
MSC:  70H09 70K60
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Asymptotic solution of a singularly perturbed Cauchy problem with a turning point. (English. Russian original) Zbl 1467.34055

J. Math. Sci., New York 254, No. 6, 788-792 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 156, 84-88 (2018).
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On the almost sure stability of dynamical systems with respect to white noise. (English. Russian original) Zbl 1453.93240

J. Math. Sci., New York 252, No. 2, 242-246 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 120-124 (2018).
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Perturbations of the continuous spectrum of a certain nonlinear two-dimensional operator sheaf. (English. Russian original) Zbl 1507.47102

J. Math. Sci., New York 252, No. 2, 135-146 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 13-24 (2018).
MSC:  47F05 35P05 47A55
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Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the upper boundaries of spectral clusters. (English. Russian original) Zbl 1453.81063

J. Math. Sci., New York 251, No. 6, 850-875 (2020); translation from Probl. Mat. Anal. 107, 69-90 (2020).
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Vibrations of two-layer ideal liquid in a rigid cylindrical vessel with elastic bases. (English. Ukrainian original) Zbl 1448.74049

J. Math. Sci., New York 246, No. 3, 365-383 (2020); translation from Neliniĭni Kolyvannya 21, No. 4, 496-513 (2018).
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Asymptotics of the solutions of boundary-value problems for linear singularly perturbed systems of differential equations in the case of multiple spectrum of the boundary matrix. (English. Ukrainian original) Zbl 1454.34085

J. Math. Sci., New York 246, No. 3, 303-316 (2020); translation from Neliniĭni Kolyvannya 21, No. 4, 444-456 (2018).
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Mechanism of appearing complex relaxation oscillations in a system of two synaptically coupled neurons. (English. Russian original) Zbl 1452.34075

J. Math. Sci., New York 249, No. 6, 894-910 (2020); translation from Probl. Mat. Anal. 103, 71-84 (2020).
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Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations. (English. Russian original) Zbl 1437.35518

J. Math. Sci., New York 243, No. 5, 746-773 (2019); translation from Zap. Nauchn. Semin. POMI 471, 168-210 (2018).
MSC:  35P20
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Stochastic perturbations of stable dynamical systems: trajectory-wise approach. (English. Russian original) Zbl 1428.93122

J. Math. Sci., New York 241, No. 3, 340-353 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 91-103 (2017).
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Convergence of eigenfunctions of a Steklov-type problem in a half-strip with a small hole. (English. Russian original) Zbl 07123831

J. Math. Sci., New York 241, No. 5, 549-555 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 42-47 (2017).
MSC:  47A10 58J37
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Estimates of initial scales for layers with small random negative-definite perturbations. (English. Russian original) Zbl 1440.60058

J. Math. Sci., New York 241, No. 5, 518-548 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 13-41 (2017).
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Contact problem for an anisotropic half plane with cracks. (English. Ukrainian original) Zbl 1454.74127

J. Math. Sci., New York 240, No. 2, 173-183 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 1, 141-148 (2017).
MSC:  74M15 74E10 74G10
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Interaction of harmonic longitudinal shear waves with \(V\)-shaped inclusions. (English. Ukrainian original) Zbl 1454.74067

J. Math. Sci., New York 240, No. 2, 113-128 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 1, 96-106 (2017).
MSC:  74J10 74H35 74H10
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Solutions of axisymmetric problems of elasticity and thermoelasticity for an inhomogeneous space and a half space. (English. Ukrainian original) Zbl 1454.74039

J. Math. Sci., New York 240, No. 1, 86-97 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 1, 75-84 (2017).
MSC:  74F05 74G10 74E05
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Spectral set of a linear system with discrete time. (English. Russian original) Zbl 1391.39004

J. Math. Sci., New York 230, No. 5, 752-756 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 132 (2016).
MSC:  39A06 39A30
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Asymptotic analysis of an \(L\)-shaped junction of two elastic beams. (English. Russian original) Zbl 1382.35297

J. Math. Sci., New York 216, No. 2, 279-312 (2016); translation from Probl. Mat. Anal. 84, 123-150 (2016).
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Approximation of thin three-dimensional plates with smooth lateral surface by polygonal plates. (English. Russian original) Zbl 1338.74080

J. Math. Sci., New York 210, No. 4, 399-428 (2015); translation from Probl. Mat. Anal. 81, 55-80 (2015).
MSC:  74K20 74G10
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Reduction of a three-layer semi-discrete scheme for an abstract parabolic equation to two-layer schemes. Explicit estimates for the approximate solution error. (English. Russian original) Zbl 1320.65133

J. Math. Sci., New York 206, No. 4, 424-444 (2015); translation from Sovrem. Mat. Prilozh. 89 (2013).
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On the regularization of a linear Fredholm boundary-value problem by a degenerate pulsed action. (English. Russian original) Zbl 1304.34034

J. Math. Sci., New York 197, No. 1, 138-150 (2014); translation from Neliniĭni Kolyvannya 16, No. 1, 133-144 (2013).
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On the spectrum of a perturbation of a hyperbolic toral automorphism. (The spectrum of a perturbed operator associated with a hyperbolic toral authomorphism.) (English. Russian original) Zbl 1478.47025

J. Math. Sci., New York 196, No. 2, 187-191 (2014); translation from Zap. Nauchn. Sem. POMI 411, 125-134 (2013).
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Linear system of differential equations with multiple turning point. (English. Russian original) Zbl 1275.34081

J. Math. Sci., New York 189, No. 5, 765-783 (2013); translation from Neliniĭni Kolyvannya 15, No. 2, 178-193 (2012).
MSC:  34E20 34A30 34C20
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Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator. (English. Russian original) Zbl 1237.34148

J. Math. Sci., New York 173, No. 3, 320-339 (2011); translation from Zap. Nauchn. Semin. POMI 379, 142-178 (2010).
MSC:  34L40 34M60 47E05
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Singularities at the tip of a crack on the interface of piezoelectric bodies. (English. Russian original) Zbl 1315.35216

J. Math. Sci., New York 159, No. 4, 524-540 (2009); translation from Zap. Nauchn. Semin. POMI 362, 241-271 (2008).
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Direct parameterization of caustics of Fredholm functionals. (English. Russian original) Zbl 1151.58009

J. Math. Sci., New York 142, No. 3, 2189-2197 (2007); translation from Sovrem. Mat. Prilozh. 29, 163-171 (2005).
MSC:  58E07 58E09 47J15
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Classical Verigin-Muskat problem: the regularization problem and internal layers. (English. Russian original) Zbl 1099.35181

J. Math. Sci., New York 133, No. 1, 1000-1044 (2006); translation from Sovrem. Mat. Prilozh. 16, 113-155 (2004).
MSC:  35R35 35K85 35K50 80A22
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Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems. (English. Russian original) Zbl 1120.37038

J. Math. Sci., New York 128, No. 2, 2726-2746 (2005); translation from Zap. Nauchn. Semin. POMI 300, 87-121 (2003).
MSC:  37J40 37J45 70H09
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Frequencies of free oscillations of a truncated spherical sector covered with a thin elastic spherical shell. (English. Russian original) Zbl 1079.74551

J. Math. Sci., New York 122, No. 5, 3523-3529 (2004); translation from Zap. Nauchn. Semin. POMI 285, 124-134 (2002).
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Asymptotics of the wave field in the vicinity of the symmetry axis of a transversely isotropic homogeneous medium. (English. Russian original) Zbl 1062.74555

J. Math. Sci., New York 117, No. 2, 4001-4007 (2003); translation from Zap. Nauchn. Semin. POMI 275, 199-211 (2001).
MSC:  74J10 74E10 74H10
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The classical formula for the regularized trace of a multidimensional harmonic oscillator. (English. Russian original) Zbl 1018.81017

J. Math. Sci., New York 108, No. 4, 608-633 (2002); translation from Tr. Semin. Im. I. G. Petrovskogo 21, 298-339 (2001).
MSC:  81Q15
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Some unilateral boundary value problems for elastic bodies with rugged boundaries. (English. Russian original) Zbl 1046.74041

J. Math. Sci., New York 108, No. 4, 574-607 (2002); translation from Tr. Semin. Im. I. G. Petrovskogo 21, 240-297 (2001).
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Differaction of plane deformation waves on a cylindrical cavity in an anisotropic bulk composed of a monoclinic system. (English. Russian original) Zbl 1221.74042

J. Math. Sci., New York 101, No. 6, 3680-3687 (2000); translation from Teor. Prikl. Mekh. 30, 137-147 (1999).
MSC:  74J20 74E10 74H10
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Delayed fracture of an orthotropic body subjected to two-dimensional deformation. (English. Russian original) Zbl 1220.74032

J. Math. Sci., New York 101, No. 6, 3637-3642 (2000); translation from Teor. Prikl. Mekh. 30, 84-91 (1999).
MSC:  74R99 74G10 74E10
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Method for studying fracture of bodies with a cylindrical cavity and a coaxial cylindrical crack of finite length under axial compression. (English. Russian original) Zbl 1222.74040

J. Math. Sci., New York 101, No. 6, 3631-3636 (2000); translation from Teor. Prikl. Mekh. 30, 76-83 (1999).
MSC:  74R10 74G10 74B05
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Analytic method for solving a class of three-dimensional thermoelasticity problems for layered transversely isotropic plates with variable thicknesses. (English. Russian original) Zbl 1222.74030

J. Math. Sci., New York 101, No. 6, 3595-3601 (2000); translation from Teor. Prikl. Mekh. 30, 26-36 (1999).
MSC:  74K20 74E30 74F05 74G10 80A20
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Discrete spectrum of differential operators in spectral gaps under nonnegative perturbations of high order. (English. Russian original) Zbl 1025.47010

J. Math. Sci., New York 115, No. 2, 2272-2278 (2003); translation from Zap. Nauchn. Semin. POMI 270, 325-335 (2000).
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The discrete spectrum asymptotics with respect to a large coupling constant under strong nonnegative perturbations. (English. Russian original) Zbl 1025.47009

J. Math. Sci., New York 115, No. 2, 2267-2271 (2003); translation from Zap. Nauchn. Semin. POMI 270, 317-324 (2000).
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