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Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations

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Abstract

The principal biharmonic problem for a quadrant with piecewise-continuous boundary conditions is reduced to a system of nonsingular integral equations.

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References

  1. N. I. Muskhelishvili,Some Principal Problems in Mathematical Elasticity Theory [in Russian], Nauka, Moscow (1966).

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  2. L. G. Magnaradze, “Principal problems of plane elasticity theory for contours with angular points,”Tr. Tbil. Mat. Inst.,4, 43–76 (1938).

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  3. I. P. Mel'nichenko, “One generalized Hilbert problem,” in:Complex Methods in Mathematical Physics [in Russian], Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk (1984), p. 27.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    I. P. Mel'nichenko & S. A. Plaksa

Authors
  1. I. P. Mel'nichenko
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  2. S. A. Plaksa
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 775–784, June, 1995.

The present work was partially supported by the International Science Foundation (Grant No. UB 4000ISF) and the Ukrainian State Committee for Science and Technology (Grant No. 11.3/12).

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Mel'nichenko, I.P., Plaksa, S.A. Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations. Ukr Math J 47, 892–903 (1995). https://doi.org/10.1007/BF01058780

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  • DOI: https://doi.org/10.1007/BF01058780

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