Dipartimento di Elettronica, Politecnico di Torino Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
Abstract:
Cauchy's method of characteristics is applied to derive a comprehensive solution for a class of differential, partial differential and difference-differential equations encountered in the study of branching processes. The results are then used to address an unsolved Markov's generalized birth process.