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Multipoint Problem for B-Parabolic Equations

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Ukrainian Mathematical Journal Aims and scope

We establish conditions for the well-posedness of a problem with multipoint conditions in the time variable and some boundary conditions in the space coordinates posed for one class of parabolic equations with Bessel operator in one of the space variables in a bounded domain. The solution of the problem is constructed in the form of a series in a system of orthogonal functions. We prove a metric theorem on the lower bounds of small denominators appearing in the solution of the problem.

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Authors and Affiliations

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

    B. I. Ptashnyk

  2. Ivano-Frankivs’k National Oil and Gas Technical University, Ivano-Frankivs’k, Ukraine

    I. R. Tymkiv

Authors
  1. B. I. Ptashnyk
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  2. I. R. Tymkiv
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 3, pp. 418–429, March, 2013.

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Ptashnyk, B.I., Tymkiv, I.R. Multipoint Problem for B-Parabolic Equations. Ukr Math J 65, 463–477 (2013). https://doi.org/10.1007/s11253-013-0789-3

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  • DOI: https://doi.org/10.1007/s11253-013-0789-3

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