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Representations of solutions of nonlocal boundary-value problems for parabolic equations

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Abstract

We study two-point boundary-value problems for parabolic equations whose solutions are representable in terms of Green's functions of the Cauchy problem.

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References

  1. V. K. Sushch,Control in Nonlocal Boundary-Value Problems. Differential Equations [in Russian], Vol. 25, No. 1-M, Nauka, Moscow (1989).

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  3. I. M. Gel'fand and G. E. Shilov,Spaces of Test and Generalized Functions [in Russian], Fizmatgiz, Moscow (1958).

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  4. S. D. Éidel'man,Parabolic Systems [in Russian], Nauka, Moscow (1964).

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Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    L. I. Korbut & M. I. Matiichuk

Authors
  1. L. I. Korbut
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  2. M. I. Matiichuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 947–951, July, 1994.

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Korbut, L.I., Matiichuk, M.I. Representations of solutions of nonlocal boundary-value problems for parabolic equations. Ukr Math J 46, 1039–1044 (1994). https://doi.org/10.1007/BF01056682

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  • DOI: https://doi.org/10.1007/BF01056682

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