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An odd-symmetric boundary-value problem for a semistrip with longitudinal rigidity ribs: Biorthogonal sets of functions and Lagrange expansions

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Abstract

This study is devoted to construction of biorthogonal functions and Lagrange expansions in the sets of Fadle–Papkovich functions arising from solution of the odd-symmetric boundary-value problem for a strip, the longitudinal sides of which are supported by the rigidity ribs responding only to the bend. Primary attention is devoted to constructing the biorthogonal functions with a zero subscript.

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Authors and Affiliations

  1. Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, 117997, Russia

    G. G. Sebryakov, M. D. Kovalenko, I. V. Menshova & T. D. Shulyakovskaya

Authors
  1. G. G. Sebryakov
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  2. M. D. Kovalenko
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  3. I. V. Menshova
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  4. T. D. Shulyakovskaya
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Corresponding author

Correspondence to G. G. Sebryakov.

Additional information

Original Russian Text © G.G. Sebryakov, M.D. Kovalenko, I.V. Menshova, T.D. Shulyakovskaya, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 3, pp. 280–284.

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Sebryakov, G.G., Kovalenko, M.D., Menshova, I.V. et al. An odd-symmetric boundary-value problem for a semistrip with longitudinal rigidity ribs: Biorthogonal sets of functions and Lagrange expansions. Dokl. Phys. 61, 247–251 (2016). https://doi.org/10.1134/S1028335816050116

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  • DOI: https://doi.org/10.1134/S1028335816050116

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