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  • 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 $l_{j}$, $i, j\in\{1,2,3,4\}$, such that the problem has a nontrivial $T$-periodic solution.
  • 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 $l_{j}$, $i, j\in\{1,2,3,4\}$, such that the problem has a nontrivial $T$-periodic solution. (en)
Title
  • On the periodic motion of a generalized oscillator in two dimensions
  • On the periodic motion of a generalized oscillator in two dimensions (en)
skos:prefLabel
  • On the periodic motion of a generalized oscillator in two dimensions
  • On the periodic motion of a generalized oscillator in two dimensions (en)
skos:notation
  • RIV/49777513:23520/09:00501682!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 331563
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/09:00501682
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Lissajous curves; Fučík spectrum; asymmetric nonlinearities; nontrivial periodic solutions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [7C5AEFE077E5]
http://linked.open...i/riv/nazevZdroje
  • Journal of Interdisciplinary Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2009
http://linked.open...iv/tvurceVysledku
  • Nečesal, Petr
  • Petříčková, Šárka
http://linked.open...n/vavai/riv/zamer
issn
  • 0972-0502
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
is http://linked.open...avai/riv/vysledek of
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