Abstract:
In the present paper the authors first present the usual convergent process of successive approximations associated to the Banach contraction principle for a class of linear hyperbolic partial differential equations. Then the authors obtain as a corollary the Riemann transition function for the telegraph equation, which had been obtained by Titchmarch and Copson by different arguments. Examples on the use of the transition function are given. As another application the authors derive a Wendroff-type inequality.
