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A study of the nonoscillatory character of solutions of partial differential equations by the method of separation of variables

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Abstract

The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied; bounds for conditional stability and regularization are established.

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Authors and Affiliations

  1. Ternopol Finance Economics Institute, USSR

    M. K. Bugir

Authors
  1. M. K. Bugir
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 3, pp. 317–323, March, 1992.

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Bugir, M.K. A study of the nonoscillatory character of solutions of partial differential equations by the method of separation of variables. Ukr Math J 44, 278–283 (1992). https://doi.org/10.1007/BF01063128

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  • DOI: https://doi.org/10.1007/BF01063128

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