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On the solvability of boundary-value problems for parabolic and hyperbolic equations on geometrical graphs

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Abstract

This paper studies generalized solutions of boundary-value problems for parabolic and hyperbolic equations on an arbitrary geometrical graph. Finally, the one-valued solvability conditions are established for these problems.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    A. S. Volkova, Yu. A. Gnilitskaya & V. V. Provotorov

Authors
  1. A. S. Volkova
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  2. Yu. A. Gnilitskaya
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  3. V. V. Provotorov
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Additional information

Original Russian Text © A.S. Volkova, Yu.A. Gnilitskaya, V.V. Provotorov, 2013, published in Sistemy Upravleniya i Informatsionnye Tekhnologii, 2013, No. 1, pp. 11–15.

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Volkova, A.S., Gnilitskaya, Y.A. & Provotorov, V.V. On the solvability of boundary-value problems for parabolic and hyperbolic equations on geometrical graphs. Autom Remote Control 75, 405–412 (2014). https://doi.org/10.1134/S0005117914020192

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  • DOI: https://doi.org/10.1134/S0005117914020192

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