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A note on linear equations modeling birth-and-death processes
Authors:Michele Elia  Giorgio Taricco
Affiliation:

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.
Keywords:
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