Proceedings of the Edinburgh Mathematical Society

Research Article

On a Linear Partial Differential Equation of Hyperbolic Type

E. T. Copson

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

S0013091500003606_eqn1

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

(Accepted December 07 1922)

(Received June 26 1922)

Notes

* 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. [OpenURL Query Data]  [CrossRef]  [Google Scholar]