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On a Linear Partial Differential Equation of Hyperbolic Type

Published online by Cambridge University Press:  20 January 2009

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Riemann's method of solution of a linear second order partial differential equation of hyperbolic type was introduced in his memoir on sound waves. It has been used by Darboux in discussing the equation

where α, β, γ are functions of x and y.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1922

References

* Ueber die Fortpflanzung ebener Luftwellen (Werke, p. 145).

Theorie Génerale dea Surfaces, t. II., ch. IV.

* Cinquième congrès dts mathématiciens scandinares. Helsingfors (1922), p. 260.

Proc. Lond. Math. Soc. Series 2. Vol. 21, p. 214.Google Scholar