On the stability of periodic solutions of piecewise smooth periodic differential equations
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Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10473-024-0418-2.pdf
Reference13 articles.
1. Di Bernardo M, Budd C J, Champneys A R, et al. Piecewise-Smooth Dynamical Systems: Theory and Applications. London: Springer-Verlog, 2008
2. Shahshahani S. Periodic solutions of polynomial first order differential equations. Nonlinear Analysis: Theory Methods & Applications, 1981, 5(2): 157–165
3. Neto A L. On the number of solutions of the equation $${{{\rm{d}}x} \over {{\rm{d}}t}} = \sum\limits_{j = 0}^n {{a_j}(t){x^j}} ,0 \le t \le 1$$, for which x(0) = x(1). Inventiones Mathematicae, 1980, 59(1): 67–76
4. Lloyd N G. The number of periodic solutions of the equation $${{{\rm{d}}z} \over {{\rm{d}}t}} = {z^N} + {p_1}(t){z^{N - 1}} + \cdots + {p_N}(t)$$. Proceedings of the London Mathematical Society, 1973, 27(3): 667–700
5. Sheng L, Han M. Periodic solutions of one dimensional periodic differential equations(in Chinese). Sci Sin Math, 2017, 47(1): 171–186
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