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Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations

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Abstract

We study the boundary-value problem for a system of partial differential equations with constant coefficients with conditions nonlocal in time. By using a metric approach, we prove the well-posedness of the problem in the scale of Sobolev spaces of functions periodic in space variables. By using matrix calculus, we construct an explicit representation of a solution.

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Authors and Affiliations

  1. Lvov Scientific Research Institute of Radioengineering, Lvov

    V. S. H’kiv

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

    B. I. Ptashnyk

Authors
  1. V. S. H’kiv
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  2. B. I. Ptashnyk
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H’kiv, V.S., Ptashnyk, B.I. Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations. Ukr Math J 48, 207–219 (1996). https://doi.org/10.1007/BF02372046

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  • DOI: https://doi.org/10.1007/BF02372046

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