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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
A problem with an integral condition in the hyperbolic part for a characteristically loaded hyperbolic-parabolic equation
K. U. Khubiev Applied Mathematics and Automation Institute, 89А Shortanov Street, Nal’chik 360000, Russia
Abstract:
We prove the uniqueness and existence of solutions of a model characteristic ally loaded mixed hyperbolic-parabolic equation. The Tricomi method is applied for establishing the solution uniqueness and the existence is proved with the use of the integral equation method.
Keywords:
loaded equation, mixed type equation, hyperbolic-parabolic equation, non local problem, integral condition.
Received: 18.10.2016
Citation:
K. U. Khubiev, “A problem with an integral condition in the hyperbolic part for a characteristically loaded hyperbolic-parabolic equation”, Mathematical notes of NEFU, 23:4 (2016), 91–98
Linking options:
https://www.mathnet.ru/eng/svfu42 https://www.mathnet.ru/eng/svfu/v23/i4/p91
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