Abstract
The character, stable or unstable, of a medium can be deduced from the behavior of an ideal model of a semi-infinite medium which is subjected to an excitation only at the boundary. A new analytic method is used to solve this particular problem. The results obtained show a connection between the character of the medium and certain properties of the dispersion equation, and agree with those derived from other methods by Sturrock, Jackson, Bers, and Briggs.

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