Sharkovkii theorem and differential equations. III. (Czech) Zbl 1524.37027

The paper continues the investigations of author’s papers [Pokroky Mat. Fyz. Astron. 49, No. 2, 151–159 (2004; Zbl 1265.37016); ibid. 56, No. 2, 143–149 (2011; Zbl 1265.37017)] about applications of the Sharkovkii theorem to the coexistence of periodic points and orbits. The author gives a survey of previous results and applies them to the problem of coexistence of periodic solutions to ordinary differential equations with different periods.


37C27 Periodic orbits of vector fields and flows
34C25 Periodic solutions to ordinary differential equations
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
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