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On a Boundary Value Problem for a Third-Order Equation of the Parabolic–Hyperbolic Type in a Triangular Domain with Three Type Change Lines

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Abstract

In this paper, we consider a boundary value problem for an equation of the parabolic–hyperbolic type in a triangular domain with three type change lines, where the characteristic of the first-order operator is parallel to the ordinate axis. A theorem on the existence and uniqueness of the solution of the problem is proved.

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Authors and Affiliations

  1. Mukimi Kokand State Pedagogical Institute, Kokand, 150700, Uzbekistan

    M. Mamajonov

  2. Fergana State University, Fergana, 150100, Uzbekistan

    H. M. Shermatova

Authors
  1. M. Mamajonov
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  2. H. M. Shermatova
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Corresponding authors

Correspondence to M. Mamajonov or H. M. Shermatova.

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Translated by V. Potapchouck

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Mamajonov, M., Shermatova, H.M. On a Boundary Value Problem for a Third-Order Equation of the Parabolic–Hyperbolic Type in a Triangular Domain with Three Type Change Lines. J. Appl. Ind. Math. 16, 481–489 (2022). https://doi.org/10.1134/S1990478922030127

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  • DOI: https://doi.org/10.1134/S1990478922030127

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