On positive periodic solutions to second-order differential equations with a sub-linear non-linearity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00531880" target="_blank" >RIV/67985840:_____/21:00531880 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26210/21:PU137551
Result on the web
<a href="https://doi.org/10.1016/j.nonrwa.2020.103200" target="_blank" >https://doi.org/10.1016/j.nonrwa.2020.103200</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2020.103200" target="_blank" >10.1016/j.nonrwa.2020.103200</a>

Result language
angličtina
Original language name
On positive periodic solutions to second-order differential equations with a sub-linear non-linearity
Original language description
The paper studies the existence and uniqueness of a positive periodic solution to the equation u′′=p(t)u−q(t,u), where p∈L([0,ω]) and q:[0,ω]×R→R is a Carathéodory function sub-linear in the second argument. The general results are applied to some particular cases such as the equation u′′=p(t)u−h(t)sinu with p,h∈L([0,ω]). This equation appears when approximating non-linearities in the equation of motion of a certain non-linear oscillator, namely, a pendulum deflected towards the two charged bodies.
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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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