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Method of orthogonal functions in mixed problems of continuum mechanics

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Literature Cited

  1. 1.

    V. M. Aleksandrov and V. A. Kucherov, “Method of orthogonal polynomials in two-dimensional mixed problems of the theory of elasticity”, Prikl. Mat. Mekh.,34, No. 4, 643–652 (1970).

  2. 2.

    V. A. Babeshko, “On a type of integral equations appearing in contact problems of the theory of elasticity”, Prikl. Mat. Mekh.,33, No. 6, 1034–1041 (1969).

  3. 3.

    V. A. Babeshko, “Integral convolution equations of the first kind on a system of segments appearing in the theory of elasticity and mathematical physics”, Prikl. Mat. Mekh.,35, No. 1, 88–99 (1971).

  4. 4.

    I. I. Vorovich, V. M. Aleksandrov, and V. A. Babeshko, Nonclassical Mixed Problems of the Theory of Elasticity [in Russian], Nauka, Moscow (1974).

  5. 5.

    I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products, Academic Press, New York (1966).

  6. 6.

    L. V. Kantorovich and L. P. Akilov, Functional Analysis in Normalized Spaces [in Russian], GiFML, Moscow (1959).

  7. 7.

    N. W. McLachlan, Theory and Application of Mathieu Functions, Dover.

  8. 8.

    I. P. Natanson, Constructive Function Theory, 3 Vols. Ungar.

  9. 9.

    V. L. Rvachev, “Pressure on the elastic halfspace from a die having the shape of a strip in the plane”, Prikl. Mat. Mekh.,20, No. 2, 248–254 (1956).

  10. 10.

    Tables Relating to Mathieu Functions, Columbia University Press, New York (1951).

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Additional information

Rostov State University. Translated from Prikladnaya Mekhanika, Vol. 13, No. 12, pp. 9–17, December, 1977.

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Aleksandrov, V.M., Kovalenko, E.V. Method of orthogonal functions in mixed problems of continuum mechanics. Soviet Applied Mechanics 13, 1186–1192 (1977). https://doi.org/10.1007/BF00884917

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Keywords

  • Mixed Problem