Positive periodic solutions to super-linear second-order ODEs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F25%3APU156288" target="_blank" >RIV/00216305:26210/25:PU156288 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.21136/CMJ.2024.0128-23" target="_blank" >https://link.springer.com/article/10.21136/CMJ.2024.0128-23</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/CMJ.2024.0128-23" target="_blank" >10.21136/CMJ.2024.0128-23</a>

Result language
angličtina
Original language name
Positive periodic solutions to super-linear second-order ODEs
Original language description
We study the existence and uniqueness of a positive solution to the problemu ''=p(t)u+q(t,u)u+f(t);u(0)=u(omega),u '(0)=u '(omega)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${u<^>{prime prime }} = p(t)u + q(t,u)u + f(t);,,,,,u(0) = u(omega ),,,,{u<^>prime }(0) = {u<^>prime }(omega )$$end{document}with a super-linear nonlinearity and a nontrivial forcing term f. To prove our main results, we combine maximum and anti-maximum principles together with the lower/upper functions method. We also show a possible physical motivation for the study of such a kind of periodic problems and we compare the results obtained with the facts well known for the corresponding autonomous case.
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
10100 - Mathematics

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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