Analogue of Bitsadze–Samarskii problem for a class of parabolic-hyperbolic equation of second kind

Authors

  • N.B. Islamov
    Tashkent State University of Economics, Uzbekistan str., 49, 100003, Tashkent, Uzbekistan

DOI:

https://doi.org/10.13108/2015-7-1-31

Keywords:

degenerate parabolic-hyperbolic equation, equation of second kind, non-local problems, Bitsadze–Samarskii condition, unique solvability, maximum principle, Fredholm integral equation.

Abstract

In this work we prove the unique solvability of a Bitsadze–Samarskii problem for a degenerate parabolic-hyperbolic equation of second kind, when on the first and second part of characteristics Bitsadze–Samarskii condition is imposed.

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Published

20.03.2015

Issue

Vol. 7 No. 1 (2015): Ufa Mathematical Journal 2015, volume 7 , issue 1

Section

Article