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Remark on Krasnosielski’s guiding functions and Srzednicki’s periodic segments |
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| Authors: | Grzegorz Kosiorowski |
| Institution: | Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland |
| Abstract: | We show that the existence of the complete set of guiding functions guarantees the existence of periodic isolating segment that carries the same information concerning periodic solutions of the non-autonomous periodic equations x′=f(x,t). |
| Keywords: | Periodic segment Periodic solution Guiding function Lefschetz number Fixed point index |
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