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%2F00216305%3A26210%2F21%3APU137551" target="_blank" >RIV/00216305:26210/21:PU137551 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/21:00531880
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1468121820301188?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1468121820301188?via%3Dihub</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) sin u 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
—
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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