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

G. G. Sebryakov; M. D. Kovalenko; I. V. Menshova; T. D. Shulyakovskaya

doi:10.1134/S1028335816050116

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

Authors: Sebryakov G.G.¹, Kovalenko M.D.¹, Menshova I.V.¹, Shulyakovskaya T.D.¹
Affiliations:
1. Institute of Earthquake Prediction Theory and Mathematical Geophysics
Issue: Vol 61, No 5 (2016)
Pages: 247-251
Section: Mechanics
URL: https://journals.rcsi.science/1028-3358/article/view/191269
DOI: https://doi.org/10.1134/S1028335816050116
ID: 191269

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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.