  The main objective of this work is to develop, via Brower degree theory and
regularization theory, a variation of the classical averaging method for
detecting limit cycles of certain piecewise continuous dynamical systems. In
fact, overall results are presented to ensure the existence of limit cycles of
such systems. These results may represent new insights in averaging, in
particular its relation with non smooth dynamical systems theory. An
application is presented in careful detail.

Dynamical Systems