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Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables

Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case... On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic type. The operator in the equation is a composition of first-order differential operators. The equation is accompanied with Cauchy conditions. For the equation, we obtain an analytic form of the general solution, from which we single out the unique classical solution of the Cauchy problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables

Differential Equations , Volume 48 (5) – Jul 4, 2012

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Difference and Functional Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266112050096
Publisher site
See Article on Publisher Site

Abstract

On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic type. The operator in the equation is a composition of first-order differential operators. The equation is accompanied with Cauchy conditions. For the equation, we obtain an analytic form of the general solution, from which we single out the unique classical solution of the Cauchy problem.

Journal

Differential EquationsSpringer Journals

Published: Jul 4, 2012

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