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

Problems with normal derivatives in the boundary conditions for a hyperbolic equation with... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

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

Zhegalov, V.; Utkina, E.
Differential Equations , Volume 50 (2) – Apr 5, 2014
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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266114020104
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Differential Equations – Springer Journals

Published: Apr 5, 2014

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