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Found 148 Documents (Results 1–100)

An inequality of Hilbert type with respect to a system of eigenfunctions of the Laplace operator for a radial function different from zero in a ball of sufficiently small radius. (English. Russian original) Zbl 0649.35071

Sov. Math., Dokl. 34, 599-602 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1292-1296 (1986).
MSC:  35P10 35J05 42B05
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On the unconditional basis property on a closed interval of systems of eigenfunctions and associated functions of a quadratic pencil of nonselfadjoint second-order differential operators. (English. Russian original) Zbl 0647.34021

Sov. Math., Dokl. 34, 207-209 (1987); translation from Dokl. Akad. Nauk SSSR 289, 1064-1066 (1986).
Reviewer: J.Weidmann
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On an optimal estimate of a linear functional from the values of n other linear functions in Hilbert space. (English. Russian original) Zbl 0642.46023

Sov. Math., Dokl. 34, 173-175 (1987); translation from Dokl. Akad. Nauk SSSR 289, 1033-1035 (1986).
Reviewer: K.Stathakopoulos
MSC:  46C99 46E30
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On numerical solution of boundary value problems for equations of parabolic type. (English. Russian original) Zbl 0637.65098

Sov. Math., Dokl. 34, 512-516 (1987); translation from Dokl. Akad. Nauk SSSR 291, 540-544 (1986).
Reviewer: J.D.P.Donnelly
MSC:  65N12 65N06 35K20
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On Riesz means of the spectral function of a nonselfadjoint Laplace operator in the presence of associated functions of order exceeding the order of the Riesz means. (English. Russian original) Zbl 0632.35055

Sov. Math., Dokl. 34, 234-237 (1987); translation from Dokl. Akad. Nauk SSSR 289, 1311-1314 (1986).
Reviewer: J.Brüning
MSC:  35P20 35J25
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Sharp estimates on a closed interval of the eigenfunctions and associated functions of a quadratic pencil of ordinary nonselfadjoint second order differential operators. (English. Russian original) Zbl 0632.34019

Sov. Math., Dokl. 34, 285-287 (1987); translation from Dokl. Akad. Nauk SSSR 290, 293-296 (1986).
Reviewer: L.Pastur
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On the unconditional basis property of systems of eigenfunctions and associated functions of a second order operator with discontinuous coefficients. (English. Russian original) Zbl 0632.34018

Sov. Math., Dokl. 34, 141-144 (1987); translation from Dokl. Akad. Nauk SSSR 289, 777-780 (1986).
Reviewer: B.D.Sleeman
MSC:  34L99 47E05 46B15
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Convergence of an approximate method of S. A. Khristianovich for solving the Dirichlet problem for an elliptic equation. (English. Russian original) Zbl 0631.30014

Sov. Math., Dokl. 34, 484-488 (1987); translation from Dokl. Akad. Nauk SSSR 291, 294-298 (1986).
Reviewer: O.Martio
MSC:  30C62 35J25
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On solution of the inverse scattering problem for a quadratic pencil of one-dimensional Schrödinger operators on the whole axis. (English. Russian original) Zbl 0629.34013

Sov. Math., Dokl. 34, 34-38 (1987); translation from Dokl. Akad. Nauk SSSR 289, 42-46 (1986).
Reviewer: D.Robert
MSC:  34A55 34L99 34B30
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On a method of numerical solution of the first boundary-value problem for three-dimensional elliptic equations. (English. Russian original) Zbl 0628.65083

Sov. Math., Dokl. 34, 562-565 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1043-1047 (1986).
Reviewer: U.Langer
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The Tricomi problem for the general linear equation of mixed type with a nonsmooth line of degeneracy. (English. Russian original) Zbl 0624.35066

Sov. Math., Dokl. 34, 133-136 (1987); translation from Dokl. Akad. Nauk SSSR 289, 549-553 (1986).
Reviewer: M.Schneider
MSC:  35M99 35C15 35G15 35D05
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Coefficient criteria and sufficient conditions for asymptotic stability with probability one of linear systems of Itô stochastic differential equations. (English. Russian original) Zbl 0623.60074

Sov. Math., Dokl. 34, 377-380 (1987); translation from Dokl. Akad. Nauk SSSR 290, 1041-1044 (1986).
Reviewer: T.Duncan
MSC:  60H10 93E15 60G15
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Conditionally optimal discrete filtering of processes in continuous- discrete stochastic systems. (English. Russian original) Zbl 0622.60046

Sov. Math., Dokl. 34, 88-92 (1987); translation from Dokl. Akad. Nauk SSSR 289, 297-301 (1986).
Reviewer: H.N.Teodorescu
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Homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients. (English. Russian original) Zbl 0622.47008

Sov. Math., Dokl. 34, 100-103 (1987); translation from Dokl. Akad. Nauk SSSR 289, 521-524 (1986).
Reviewer: M.Putinar
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The phenomenon of a rotating boundary layer in the theory of singularly perturbed systems of ordinary differential equations. (English. Russian original) Zbl 0622.34056

Sov. Math., Dokl. 34, 117-120 (1987); translation from Dokl. Akad. Nauk SSSR 289, 536-538 (1986).
Reviewer: H.S.Nur
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Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space. (English. Russian original) Zbl 0621.53052

Sov. Math., Dokl. 34, 373-376 (1987); translation from Dokl. Akad. Nauk SSSR 290, 1037-1040 (1986).
Reviewer: A.Borisov
MSC:  53C65
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A matrix criterion and matrix sufficient conditions for asymptotic stability and boundedness with probability one of solutions of linear stochastic difference equations. (English. Russian original) Zbl 0621.39002

Sov. Math., Dokl. 34, 390-393 (1987); translation from Dokl. Akad. Nauk SSSR 290, 1294-1298 (1986).
Reviewer: Yang En Hao
MSC:  39A10 39A12 60H99
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