Geodesic
Boundary-Value Problem for a Loaded Equation of Hyperbolic-Parabolic Type with Degeneracy of Order in the Domain of Hyperbolicity
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 113-117.

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In this paper, we study a boundary-value problem for a loaded equation of hyperbolic-parabolic type with degeneracy of order in the domain of its hyperbolicity. An existence and uniqueness theorem for solutions of this problem is proved and a representation of solutions is presented.
Keywords: loaded equation, mixed-type equation, hyperbolic equation, boundary-value problem.
Mots-clés : parabolic equation 
@article{INTO_2018_149_a12,
     author = {K. U. Khubiev},
     title = {Boundary-Value {Problem} for a {Loaded} {Equation} of {Hyperbolic-Parabolic} {Type} with {Degeneracy} of {Order} in the {Domain} of {Hyperbolicity}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {113--117},
     publisher = {mathdoc},
     volume = {149},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a12/}
}
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K. U. Khubiev. Boundary-Value Problem for a Loaded Equation of Hyperbolic-Parabolic Type with Degeneracy of Order in the Domain of Hyperbolicity. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 113-117. http://geodesic.mathdoc.fr/item/INTO_2018_149_a12/

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