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First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain

First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain We study the classical solution of a boundary value problem for a nonstrictly parabolic equation of the third order in a rectangular domain of two independent variables. We pose Cauchy conditions on the lower base of the domain and the Dirichlet conditions on the lateral boundary. By the method of characteristics, we obtain a closed-form analytic expression for the solution of the problem. The uniqueness of the solution is proved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain

Differential Equations , Volume 52 (6) – Jul 13, 2016

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2016 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/S0012266116060070
Publisher site
See Article on Publisher Site

Abstract

We study the classical solution of a boundary value problem for a nonstrictly parabolic equation of the third order in a rectangular domain of two independent variables. We pose Cauchy conditions on the lower base of the domain and the Dirichlet conditions on the lateral boundary. By the method of characteristics, we obtain a closed-form analytic expression for the solution of the problem. The uniqueness of the solution is proved.

Journal

Differential EquationsSpringer Journals

Published: Jul 13, 2016

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