Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73599370" target="_blank" >RIV/61989592:15310/19:73599370 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333179256" target="_blank" >https://obd.upol.cz/id_publ/333179256</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12775/TMNA.2019.031" target="_blank" >10.12775/TMNA.2019.031</a>
Alternative languages
Result language
angličtina
Original language name
Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities
Original language description
We will prove, besides other things like localization and (in)stability, that the differential equations of the first and second orders, where the forcing functions are uniformly limit-periodic functions, possess for sufficiently small values of a small paremeter uniformly limit-periodic solutions, provided the forcing function in the first-order equation is strictly positive. As far as we know, these are the first nontrivial effective criteria, obtained for limit-periodic solutions of nonlinear differential equations, in the lack of global lipschitzianity restrictions. A simple illustrative example is also indicated for difference equations.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Topological Methods in Nonlinear Analysis
ISSN
1230-3429
e-ISSN
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Volume of the periodical
2019
Issue of the periodical within the volume
54
Country of publishing house
PL - POLAND
Number of pages
20
Pages from-to
887-906
UT code for WoS article
000522659000003
EID of the result in the Scopus database
2-s2.0-85063914442