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IssuesArchive of Issues2013-5pp.584-602

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M.D. Kovalenko, I.V. Men'shova, and T.D. Shulyakovskaya, "Expansions in Fadle-Papkovich Functions: Examples of Solutions in a Half-Strip," Mech. Solids. 48 (5), 584-602 (2013)
Year 2013 Volume 48 Number 5 Pages 584-602
DOI 10.3103/S0025654413050154
Title Expansions in Fadle-Papkovich Functions: Examples of Solutions in a Half-Strip
Author(s) M.D. Kovalenko (Chernomyrdin Moscow State Open University, Pionerskaya 8, Voskresensk, Moscow Region, 140200 Russia, kov08@inbox.ru)
I.V. Men'shova (Chernomyrdin Moscow State Open University, Pionerskaya 8, Voskresensk, Moscow Region, 140200 Russia, menshovairina@yandex.ru)
T.D. Shulyakovskaya (Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995 Russia, 5095739@mail.ru)
Abstract Several examples of solutions of boundary value problems of elasticity in a half-strip are given in the form of expansions in the Fadle-Papkovich functions.
Keywords boundary value problem, Fadle-Papkovich functions, analytic solutions
References
1.  M. D. Kovalenko and T. D. Shulyakovskaya, "Expansions in Fadle-Papkovich Functions in a Strip. Theory Foundations," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 78-98 (2011) [Mech. Solids (Engl. Transl.) 46 (5), 721-738 (2011)].
2.  B. Ya. Levin, The Distribution of Roots of Entire Functions (Gostekhizdat, Moscow, 1956) [in Russian].
3.  N. I. Akhiezer, Lectures on the Theory of Approximation (Nauka, Moscow, 1965) [in Russian].
4.  A. Pflüger, "Über eine Interpretation gewisser Konvergenz- und Fortzetzungseigenschaften Dirichlet'scher Reihen," Comment. Math. Helvet. 36 (8), 89-129 (1935/36).
5.  M. M. Dzhrbashyan, Integral Transformations and Function Representations in Complex Domains (Nauka, Moscow, 1966) [in Russian].
6.  N. I. Muskhelishvili, Several Fundamental Problems of Mathematical Theory of Elasticity (Izdat. AN SSSR, Moscow-Leningrad, 1949) [in Russian].
7.  M. D. Kovalenko and S. V. Shibirin, "A Junction of Two Semistrips," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 56-63 (1997) [Mech. Solids (Engl. Transl.) 32 (1), 45-51 (1997)].
8.  G. G. Sebryakov, M. D. Kovalenko, N. N. Tsybin, and T. D. Shulyakovskaya, "Expansions in Terms of the Fadle-Papkovich Functions in the Problem for a Strip with a Cut," Dokl. Ross. Akad. Nauk 439 (6), 763-766 (2008) [Dokl. Phys. (Engl. Transl.) 53 (4), 237-240 (2008)].
9.  D. I. Sherman, "On a Problem of Elasticity," Dokl. Akad. Nauk SSSR 27 (9), 907-913 (1940) [Soviet Math. Dokl. (Engl. Transl.)].
10.  E. I. Shemyakin, "Boundary Value Problems in the Elasticity Theory: Domains with Corner Points (the Planar Case)," Dokl. Ross. Akad. Nauk 347 (3), 342-345 (1996) [Dokl. Phys. (Engl. Transl.) 41 (3), 135-138 (1996)].
Received 05 April 2012
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