Erkinjon T. Karimov, Akmal I. Sotvoldiyev
Abstract:
In this work, we study a boundary problem with non-local conditions,
by relating values of the unknown function with various characteristics.
The parabolic-hyperbolic equation with three lines of type changing
is equivalently reduced to a system of Volterra integral equations of
the second kind.
Submitted May 14, 2013. Published June 20, 2013.
Math Subject Classifications: 35M10.
Key Words: Parabolic-hyperbolic equation; non-local condition;
Volterra integral equation.
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Erkinjon T. Karimov Institute of Mathematics National University of Uzbekistan ``Mirzo Ulugbek'' Durmon yuli str., 29, Tashkent, 100125, Uzbekistan email: erkinjon@gmail.com, erkinjon.karimov@hotmail.com |
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Akmal I. Sotvoldiyev Institute of Mathematics National University of Uzbekistan ``Mirzo Ulugbek'' Durmon yuli str., 29, Tashkent, 100125, Uzbekistan email: akmal.sotvoldiyev@mail.ru |
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