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Nonlocal parabolic boundary-value problem

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Abstract

For a parabolic system with time-dependent coefficients, we construct its Green function and present the classical solution of a two-point problem with nonlocal boundary conditions given by differential polynomials.

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References

  1. S. D. éiderman,Parabolic Systems [in Russian], Nauka, Moscow 1964.

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  2. B. I. Ptashnik,Ill-Posed Boundary-Value Problems for Partial Differential Equations [in Russian], Naukova Dumka, Kiev 1984.

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  3. L. I. Korbut and M. I. Matiichuk, “Representations of solutions of nonlocal boundary-value problems for parabolic equations,”Ukr. Mat. Zh.,46, No. 7, 947–951 (1994).

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Authors
  1. M. I. Matiichuk
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Matiichuk, M.I. Nonlocal parabolic boundary-value problem. Ukr Math J 48, 405–411 (1996). https://doi.org/10.1007/BF02378530

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  • DOI: https://doi.org/10.1007/BF02378530

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