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A system of dual trigonometric series and its applications to the solution of contact problems of elasticity theory. (English. Russian original) Zbl 0445.73100

Sov. Appl. Mech. 15, 202-207 (1979); translation from Prikl. Mekh. 15, No. 3, 30-35 (1979).

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
45E99 Singular integral equations
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References:

[1] I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press (1966).
[2] V. F. Kagan, Foundations of the Theory of Determinants [in Russian], Gos. Izd-zo Ukrainy, Odessa (1922).
[3] Yu. I. Travkin, ?Axisymmetric mixed problem on torsion of a finite cylinder,? Dopov. Akad. Nauk UkrSSR, Ser. A, No. 6, 523?526 (1967).
[4] Yu. I. Travkin, ?On a system of dual trigonometric series and its application to mixed problems of elasticity theory,? Prikl. Mekh.,13, No. 6, 27?37 (1977).
[5] L. I. Chibrikova, ?On the solution of certain complete singular integral equations,? Uch. Zap. Kazan Univ.,122, No. 3, 95?124 (1962).
[6] A. Erdelyi, Asymptotic Expansions, Dover (1961).
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