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Found 59 Documents (Results 1–59)

The theory of solvability of singular integral equations with a linear- fractional Carleman shift. (English. Russian original) Zbl 0778.45001

Sov. Math., Dokl. 43, No. 1, 73-77 (1991); translation from Dokl. Akad. Nauk SSSR 316, No. 2, 288-292 (1991).
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Asymptotic behavior of the energy for an integro-differential equation describing acoustic waves in a relaxation medium. (English. Russian original) Zbl 0752.45019

Sov. Math., Dokl. 43, No. 2, 503-507 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 792-797 (1991).
MSC:  45K05 45M05
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On the solution of integral equations of the first kind with weak singularities in an \(n\)-dimensional spherical shell. (English. Russian original) Zbl 0848.45001

Sov. Math., Dokl. 44, No. 3, 804-808 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 5, 880-884 (1991).
MSC:  45E10
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Numerical algorithms for analytic continuation from discrete sets, and algorithmic proof of uniqueness theorems. (English. Russian original) Zbl 0781.65018

Sov. Math., Dokl. 43, No. 3, 701-704 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 2, 285-288 (1991).
Reviewer: H.Kriete (Aachen)
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On the defect numbers of the Kveselava-Vekua operator with discontinuous derivative of the shift. (English. Russian original) Zbl 0770.45002

Sov. Math., Dokl. 43, No. 3, 633-638 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 1, 11-16 (1991).
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On conditions for the Noether property and the index of some singular two-dimensional integral equations. (English. Russian original) Zbl 0714.45004

Sov. Math., Dokl. 41, No. 3, 389-394 (1990); translation from Dokl. Akad. Nauk SSSR 312, No. 1, 15-19 (1990).
Reviewer: Xu Zhenyuan
MSC:  45E05 47A53 30C40
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Sharp orders of best rational approximation of the convolution of a Weyl kernel and a function in \(L_ p\). (English. Russian original) Zbl 0759.41011

Sov. Math., Dokl. 42, No. 3, 789-792 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 313-316 (1990).
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Dimension and structure of the kernel and cokernel of a singular integral operator with linear-fractional Carleman shift and with conjugation. (English. Russian original) Zbl 0818.47048

Sov. Math., Dokl. 42, No. 3, 743-746 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 271-274 (1990).
MSC:  47G10 45E05 47A53
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The Noether property and the index of a class of two-dimensional singular integral operators. (English. Russian original) Zbl 0742.45001

Sov. Math., Dokl. 42, No. 1, 32-36 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 3, 541-545 (1990).
MSC:  45E10 47A53
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On the Noether property and index of a class of two-dimensional singular integral equations with discontinuous coefficients. (English. Russian original) Zbl 0667.45004

Sov. Math., Dokl. 37, No. 3, 639-643 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 2, 272-276 (1988).
Reviewer: A.Bukhvalov
MSC:  45E05 47A53
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On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. (English. Russian original) Zbl 0635.47006

Sov. Math., Dokl. 33, 400-403 (1986); translation from Dokl. Akad. Nauk SSSR, 287, 529-532 (1986).
Reviewer: L.Hacia
MSC:  47A10 47B38 47Gxx
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On conditions for the Noether property and on the index of some two- dimensional singular integral equations with discontinuous coefficients in a bounded simply connected domain. (English. Russian original) Zbl 0622.45001

Sov. Math., Dokl. 33, 752-757 (1986); translation from Dokl. Akad. Nauk SSSR 288, 792-797 (1986).
Reviewer: R.Duduchava
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Estimates of solutions of some nonlinear equations of convolution type and singular integral equations. (English. Russian original) Zbl 0613.45007

Sov. Math., Dokl. 33, 639-642 (1986); translation from Dokl. Akad. Nauk SSSR 288, 275-278 (1986).
Reviewer: J.Burbea
MSC:  45G05
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On the algebra generated by two-dimensional integral operators with Bergman kernel and piecewise continuous coefficients. (English. Russian original) Zbl 0592.47044

Sov. Math., Dokl. 28, 191-194 (1983); translation from Dokl. Akad. Nauk SSSR 271, 1041-1044 (1983).
Reviewer: S.V.Kisljakov
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