Problems with normal derivatives in the boundary conditions for a hyperbolic equation with deviating arguments of the unknown function

For a hyperbolic equation of a form earlier unstudied, we consider two problems with normal derivatives in the boundary conditions. For each of these problems, we prove the existence of a unique reduction to the Goursat problem.

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Bibliographic Details
Published in:Differential equations 2014-02, Vol.50 (2), p.226-231
Main Authors: Zhegalov, V. I., Utkina, E. A.
Format: Article
Language:English
Subjects:
Boundary conditions
Derivatives
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Reduction
Studies
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Description
Summary:For a hyperbolic equation of a form earlier unstudied, we consider two problems with normal derivatives in the boundary conditions. For each of these problems, we prove the existence of a unique reduction to the Goursat problem.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266114020104