Multiple anti-periodic solutions of implicit differential inclusions on tori

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73603351" target="_blank" >RIV/61989592:15310/21:73603351 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022039620306379" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022039620306379</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2020.11.049" target="_blank" >10.1016/j.jde.2020.11.049</a>

Result language
angličtina
Original language name
Multiple anti-periodic solutions of implicit differential inclusions on tori
Original language description
We give a lower estimate of the number of anti-periodic solutions of implicit differential inclusions on tori. Our approach is based on the application of the topological essential fixed point theory, jointly with the Nielsen theory for multivalued admissible maps. Since one of the conditions is rather technical (zero topological dimension of a fixed point set), some simple illustrative examples to the main theorem are supplied. In the single-valued case of implicit differential equations, relevant arguments are still discussed in concluding remarks.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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