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A nonlinear integrodifferential equation of nonstationary transfer

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Abstract

Existence and uniqueness theorems for the solution of a mixed problem for a nonlinear nonstationary integrodifferential transfer equation of general form, as well as stability theorems for the solutions of this problem with respect to the perturbation of a parameter occurring in the equation and in the initial and boundary conditions, are established in the article.

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Authors and Affiliations

  1. Gorki State University, USSR

    S. F. Morozov & V. I. Sumin

Authors
  1. S. F. Morozov
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  2. V. I. Sumin
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Additional information

Translated from Matematicheskie Zametki, Vol. 21, No. 5, pp. 665–676, May, 1977.

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Morozov, S.F., Sumin, V.I. A nonlinear integrodifferential equation of nonstationary transfer. Mathematical Notes of the Academy of Sciences of the USSR 21, 373–379 (1977). https://doi.org/10.1007/BF01788234

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  • DOI: https://doi.org/10.1007/BF01788234

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