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Modern Analysis and Applications pp 155–171Cite as

On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 191))

Abstract

In the present paper the M.G. Krein spectral method of integral equations solutions of the first kind based on his investigations on inverse problems of differential operators spectral theory, is briefly stated. A brief review of basic results on the solution of fairly wide class of integral equations, met in contact problems of elasticity theory is given.

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Author information

Authors and Affiliations

  1. Institute of Mechanics of NAS Armenia, M.Baghramyan ave., 24b, 375019, Yerevan, Armenia

    S. M. Mkhitaryan

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  1. S. M. Mkhitaryan
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Editor information

Editors and Affiliations

  1. Department of Theoretical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine

    Vadim M. Adamyan

  2. Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel

    Israel Gohberg

  3. Insitute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivska st., 01601, Kyiv-4, Ukraine

    Anatoly Kochubei , Yurij Berezansky , Myroslav Gorbachuk  & Valentyna Gorbachuk , ,  & 

  4. Department of Mathematical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine

    Gennadiy Popov

  5. Institute of Analysis and Scientific Computing, Technical University of Vienna, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria

    Heinz Langer

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Mkhitaryan, S.M. (2009). On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_10

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