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The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
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 ...
Aleksandr A Andreev, Julia O Yakovleva
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The Cauchy problem for a general hyperbolic differential equation of the n-th order with the nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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On Asymptotic Series for Generalized Airy, Circular, and Hyperbolic Functions

Mathematics
The paper concerns the solution of the ordinary differential equation y″±xmy=0, which may be designated the generalized Airy equation, since the original Airy equation corresponds to the particular case m=1 with the + sign.
Luiz M. B. C. Campos, Manuel J. S. Silva
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