On the periodic motion of a generalized oscillator in two dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00501682" target="_blank" >RIV/49777513:23520/09:00501682 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the periodic motion of a generalized oscillator in two dimensions
Original language description
We investigate the system of two nonlinear differential equations $x''+k(x,y)x=0$, $y''+l(x,y)y=0$, with nonlinearities $k(x,y)$ and $l(x,y)$. We consider the functions $k(x,y)$ and $l(x,y)$ to be constant on each quadrant of $R^{2}$, which means that $k$ and $l$ are equal to different constants $k_{1}, k_{2}, k_{3}, k_{4}$ and $l_{1}, l_{2}, l_{3}, l_{4}$, respectively, for each of four quadrants. We formulate sufficient condition on constants $k_{i}$ and $l_{j}$, $i, jin{1,2,3,4}$, such that the problem has a nontrivial $T$-periodic solution.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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