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Method for separation of variables for bilinear matrix functional equation and its applications

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Abstract

Necessary and sufficient conditions for the solvability of a bilinear matrix functional equation are presented. The conditions are applied in the construction of the solutions of systems of partial differential equations.

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Authors and Affiliations

  1. Lvov Polytechnic Institute, USSR

    P. I. Kalenyuk & Z. M. Nytrebych

  2. Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of Ukraine, Lvov

    P. I. Kalenyuk & Z. M. Nytrebych

Authors
  1. P. I. Kalenyuk
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  2. Z. M. Nytrebych
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Additional information

Translated from Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1201–1209, September, 1992.

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Kalenyuk, P.I., Nytrebych, Z.M. Method for separation of variables for bilinear matrix functional equation and its applications. Ukr Math J 44, 1099–1107 (1992). https://doi.org/10.1007/BF01058370

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  • DOI: https://doi.org/10.1007/BF01058370

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