Stability of chain recurrent points of continuous maps on interval

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F12%3A%230000351" target="_blank" >RIV/47813059:19610/12:#0000351 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.545057" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.545057</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2010.545057" target="_blank" >10.1080/10236198.2010.545057</a>

Result language
angličtina
Original language name
Stability of chain recurrent points of continuous maps on interval
Original language description
Recently, J. Smital and T. H. Steele [J. Difference Equ. Appl. 15 (2009), 77-86] considered the mappings C and NW, which take a function f is an element of C(I) to its centre C(f), and to its set of non-wandering points NW(f), respectively. They characterize a function g is an element of C(I) at which maps C and NW are continuous, and put a problem whether the same characterization is true for the map CR, which takes an f is an element of C(I) to its set of chain recurrent points CR(f). We show that theanswer is positive.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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