| Volume 7, Number 2, 2017, Pages 788-794 DOI：10.11948/2017049 |
| On the maximum number of periodic solutions of piecewise smooth periodic equations by average method |
| Maoan Han |
| Keywords:Averaging method, bifurcation function, periodic solution, maximum number. |
| Abstract: |
| 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. |
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