Geodesic
A problem with an integral condition in the hyperbolic part for a characteristically loaded hyperbolic-parabolic equation
Matematičeskie zametki SVFU, Tome 23 (2016), pp. 91-98

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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. 
@article{SVFU_2016_23_a7,
     author = {K. U. Khubiev},
     title = {A problem with an integral condition in the hyperbolic part for a characteristically loaded hyperbolic-parabolic equation},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {91--98},
     publisher = {mathdoc},
     volume = {23},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2016_23_a7/}
}
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K. U. Khubiev. A problem with an integral condition in the hyperbolic part for a characteristically loaded hyperbolic-parabolic equation. Matematičeskie zametki SVFU, Tome 23 (2016), pp. 91-98. http://geodesic.mathdoc.fr/item/SVFU_2016_23_a7/