Averaging theory for discontinuous piecewise differential systems

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On the maximum number of periodic solutions of piecewise smooth periodic equations by average method (2017, methodology): “Recently, the method has been developed from smooth differential equations to piecewise smooth differential equations, see [5, 6].”
New lower bound for the Hilbert number in piecewise quadratic differential systems (2018, background): “In fact, the limit cycles will appear from the simple zeros of some integrals (see, for instance, [18, 23]).”
Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones (2016, background): “The extension of the averaging theory to discontinuous piecewise vector field has been the central subject of investigation of the following works [11, 12, 14, 17].”