Geodesic
Characteristic problem for the one system of hyperbolic differential equations of the third order
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 20-24 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper the well-posed characteristic problem is considered for the hyperbolic differential equation of the third order with nonmultiple characteristics. The regular solution of the characteristic problem for the hyperbolic differential equation of the third order with the nonmultiple characteristics is constructed in an explicit form. The well-posed characteristic problem is considered for one system of hyperbolic differential equations of the third order. The regular solution of the characteristic problem for the one system of hyperbolic differential equations of the third order is constructed. The theorem for the Hadamard's well-posedness characteristic problem for the one system of hyperbolic differential equations is considered as the result of the research.
Keywords: hyperbolic equation of the third order, nonmultiple characteristics, characteristic problem, system of hyperbolic differential equations of the third order, Hadamard's well-posedness. 
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J. O. Yakovleva. Characteristic problem for the one system of hyperbolic differential equations of the third order. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 20-24. http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a2/

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