Article,

Averaging theory for discontinuous piecewise differential systems

, , and .
Journal of Differential Equations, 258 (11): 4007 - 4032 (2015)
DOI: http://dx.doi.org/10.1016/j.jde.2015.01.022

Abstract

Abstract We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.

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