The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

Name: The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics
Keywords: system of the general hyperbolic differential equations, QA1-939, characteristic problem, nonmultiple characteristics, Mathematics, hadamard's well-posedness

Aleksandr Anatol'evich Andreev; Juliya Olegovna Yakovleva

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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Article . 2013

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The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2013 English Publisher:Samara State Technical UniversityJournal:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki (issn: 1991-8615,

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Authors: Aleksandr Anatol'evich Andreev; Juliya Olegovna Yakovleva;

The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

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Abstract

We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given.

Keywords

system of the general hyperbolic differential equations, QA1-939, characteristic problem, nonmultiple characteristics, Mathematics, hadamard's well-posedness

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