On a periodic problem for super-linear second-order ODEs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU154943" target="_blank" >RIV/00216305:26210/24:PU154943 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/ms-2024-0106/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/ms-2024-0106/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2024-0106" target="_blank" >10.1515/ms-2024-0106</a>
Alternative languages
Result language
angličtina
Original language name
On a periodic problem for super-linear second-order ODEs
Original language description
The present paper concerns the periodic problemu ''=p(t)u-q(t,u)u+f(t);u(0)=u(omega),u '(0)=u '(omega), $$begin{array}{} displaystyle u''=p(t)u-q(t,u)u+f(t);quad u(0)=u(omega),, u'(0)=u'(omega), end{array}$$where p, f : [0, omega] -> & Ropf; are Lebesgue integrable functions and q : [0, omega] x & Ropf; -> & Ropf; is a Carath & eacute;odory function. We assume that the anti-maximum principle holds for the corresponding linear problem and provide sufficient conditions guaranteeing the existence and uniqueness of a positive solution to the given non-linear problem. The general results obtained are applied to the non-autonomous Duffing type equation with a super-linear power non-linearity.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
1337-2211
Volume of the periodical
74
Issue of the periodical within the volume
6
Country of publishing house
SK - SLOVAKIA
Number of pages
20
Pages from-to
1457-1476
UT code for WoS article
001371821400016
EID of the result in the Scopus database
2-s2.0-85217030218