A Mixed Problem for One 3D Space Analogue of Hyperbolic Type Equation

It is well known that differential equations with an operator are used for study of the processes connected with appearances of vibration and other mechanics problems, and also play an essential role in the theory of approximation and mapping. In the present work a unique solution for the mixed prob...

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Published inVestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki Vol. 14; no. 2; pp. 252 - 257
Main Authors Mikhail V Dolgopolov, Irina N Rodionova
Format Journal Article
LanguageEnglish
Published Samara State Technical University 01.06.2010
Subjects
boundary value problems
hyperbolic type equations
integral equations
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Summary:It is well known that differential equations with an operator are used for study of the processes connected with appearances of vibration and other mechanics problems, and also play an essential role in the theory of approximation and mapping. In the present work a unique solution for the mixed problem of the full hyperbolic equation of the third order with constant factors, in a three-dimensional Euclidean space, was obtain with the Riemann method, which then becomes considerably simpler at the expense of integral representation of one of boundary conditions. Owing to this it can be used for statement and a solution of new boundary value problems.
ISSN:1991-8615
2310-7081