Lagrange stability for a class of impulsive Duffing-type equations with low regularity
We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Duffing-egyenlet, Differenciálegyenlet - ordinárius |
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| doi: | 10.14232/ejqtde.2024.1.9 |
| Online Access: | http://acta.bibl.u-szeged.hu/88811 |
| Tartalmi kivonat: | We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity. |
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| Terjedelem/Fizikai jellemzők: | 22 |
| ISSN: | 1417-3875 |