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Description
| - We investigate the periodic solutions of a one-dimensional nonlinear pendulum $y'' + \delta y' + k \sin y + k_{1}(y - r_{1})^{+} - k_{2}(y + r_{2})^{-} = f$, where $y^{+}:=\max\{y,0\}$ and $y^{-}:=\max\{-y,0\}$. The pendulum is located between two one-sided springs with stiffnesses $k_{1}$ and $k_{2}$ in distances $r_{1}$ and $r_{2}$. For the first approximation, we investigate the simplified model without damping ($\delta = 0$) and with zero right-hand side $y'' + k y + k_{1}(y - r_{1})^{+} - k_{2}(y + r_{2})^{-} = 0$ together with periodic condition $y(t) = y(t+T)$. In the symmetric case of $r_{1} = r_{2}$ and $k_{1} = k_{2}$, we give the full and precise description of the solution set of the simplified problem with respect to its parameters. We prove the existence of multiple solutions and moreover, we provide the qualitative properties of the corresponding solution diagram. Finally, we reconstruct the solution diagram for the simplified problem also in the case of genera
- We investigate the periodic solutions of a one-dimensional nonlinear pendulum $y'' + \delta y' + k \sin y + k_{1}(y - r_{1})^{+} - k_{2}(y + r_{2})^{-} = f$, where $y^{+}:=\max\{y,0\}$ and $y^{-}:=\max\{-y,0\}$. The pendulum is located between two one-sided springs with stiffnesses $k_{1}$ and $k_{2}$ in distances $r_{1}$ and $r_{2}$. For the first approximation, we investigate the simplified model without damping ($\delta = 0$) and with zero right-hand side $y'' + k y + k_{1}(y - r_{1})^{+} - k_{2}(y + r_{2})^{-} = 0$ together with periodic condition $y(t) = y(t+T)$. In the symmetric case of $r_{1} = r_{2}$ and $k_{1} = k_{2}$, we give the full and precise description of the solution set of the simplified problem with respect to its parameters. We prove the existence of multiple solutions and moreover, we provide the qualitative properties of the corresponding solution diagram. Finally, we reconstruct the solution diagram for the simplified problem also in the case of genera (en)
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Title
| - On the periodic motion of one-dimensional oscillator between two elastic walls
- On the periodic motion of one-dimensional oscillator between two elastic walls (en)
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skos:prefLabel
| - On the periodic motion of one-dimensional oscillator between two elastic walls
- On the periodic motion of one-dimensional oscillator between two elastic walls (en)
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skos:notation
| - RIV/49777513:23520/09:00501684!RIV10-MSM-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/09:00501684
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Fučík spectrum; asymmetric nonlinearities; multiple periodic solutions (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Journal of Interdisciplinary Mathematics
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Nečesal, Petr
- Babováková, Jana
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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