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The distribution of random motion with Erlang-3 sojourn times. (English) Zbl 1328.60228
Summary: In this paper, we study a one-dimensional random motion with switching process having an Erlang-3 distribution for the sojourn times. We obtain the solution of the associated hyperbolic PDE of sixth order through algebraic techniques.

MSC:
60K37 Processes in random environments
35L25 Higher-order hyperbolic equations
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