Geodesic
The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 4, pp. 752-759

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In the paper the Cauchy problem is considered for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics is considered. In the paper the solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered. The existence and uniqueness theorem for the regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered as the result of the research.
Keywords: $n$-th order hyperbolic differential equation, system of the hyperbolic differential equations of the $n$-th order, nonmultiple characteristics, method of the general solutions, Cauchy problem
Mots-clés : D'Alembert formula. 
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     author = {A. A. Andreev and J. O. Yakovleva},
     title = {The {Cauchy} problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {752--759},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2017_21_4_a9/}
}
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A. A. Andreev; J. O. Yakovleva. The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 4, pp. 752-759. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_4_a9/