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A problem with nonlocal conditions for partial differential equations with constant coefficients

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We study the correctness of a problem with nonlocal conditions for untypical partial differential equations with constant coefficients in a cylindrical domain, which is a product of a segment by a torus. We establish conditions of the correctness of this problem for almost all values (with respect to Lebesgue’s measure) of its two chosen parameters.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    O. D. Vlasii

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  1. O. D. Vlasii
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 34–42, January–March, 2009.

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Vlasii, O.D. A problem with nonlocal conditions for partial differential equations with constant coefficients. J Math Sci 168, 544–555 (2010). https://doi.org/10.1007/s10958-010-0005-z

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  • DOI: https://doi.org/10.1007/s10958-010-0005-z

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