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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.

MSC:

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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