Remark on Krasnosielski's guiding functions and Srzednicki's periodic segments (Q1004611)
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scientific article; zbMATH DE number 5527972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remark on Krasnosielski's guiding functions and Srzednicki's periodic segments |
scientific article; zbMATH DE number 5527972 |
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Remark on Krasnosielski's guiding functions and Srzednicki's periodic segments (English)
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11 March 2009
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The author briefly recalls some results from the theory of guiding functions as developed by M. A. Krasnosel'skii. In particular, he focuses on the situation when a differential system possesses a complete set of guiding functions. He shows that, in such a case, there is a periodic isolating segment that carries the same information concerning periodic solutions of that system.
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periodic segment
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guiding function
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Lefschetz number
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fixed point index
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