On the maximum number of periodic solutions of piecewise smooth periodic equations by average method

By Maoan Han. 2017

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In this paper, we prove smoothness of bifurcation function for a piecewise smooth periodic equation, and then use the bifurcation function together with its smoothness to study the maximum number of periodic solutions of the piecewise smooth periodic equation by the first order average.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e9c0f885ad7ac2f3d7eed3913c5b93527d961ee9