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Nonlocal boundary-value problems for systems on linear partial differential equations

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Abstract

We study the classical well-posedness of problems with nonlocal two-point conditions for typeless systems of linear partial differential equations with variable coefficients in a cylindrical domain. We prove metric theorems on lower bounds for small denominators that appear in the construction of solutions of such problems.

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Authors and Affiliations

  1. Carpathian University, Ivano-Frankovsk

    T. P. Goi

  2. Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    B. I. Ptashnyk

Authors
  1. T. P. Goi
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  2. B. I. Ptashnyk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1478–1487, November, 1997.

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Goi, T.P., Ptashnyk, B.I. Nonlocal boundary-value problems for systems on linear partial differential equations. Ukr Math J 49, 1659–1670 (1997). https://doi.org/10.1007/BF02487504

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  • DOI: https://doi.org/10.1007/BF02487504

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