Periodic solutions of a class of nonlinear planar systems


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	Periodic solutions of a class of nonlinear planar systems


	Fixed Point Theory, Volume 19, No. 2, 2018, 631-642, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.50 Authors: Zaitao Liang Abstract: In this paper, by the use of a generalized version of the Poincaré-Birkhoff fixed point theorem due to Franks, we prove the existence of at least two geometrically distinct periodic solutions for a class of nonlinear planar systems, and at least one of them is unstable. Key Words and Phrases: Nonlinear planar system, exact symplectic map, boundary twist condition, Poincaré-Birkhoff fixed point theorem. 2010 Mathematics Subject Classification: 34C25, 37C25. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents