On the telegraph equation with a small parameter

This work is an edited translation, by A. Bobrowski and W. Chojnacki, of the original Polish text entitled O równaniu telegrafistów z małym parametrem which appeared in Prace Naukowe Politechniki Lubelskiej 212, Matematyka (Research Bulletin of the Lublin University of Technology 212, Mathematics), 1991, vol. 12, pp. 17–40.