Rectifiability of orbits for two-dimensional nonautonomous differential systems
The present study is concerned with the rectifiability of orbits for the twodimensional nonautonomous differential systems. Criteria are given whether the orbit has a finite length (rectifiable) or not (nonrectifiable). The global attractivity of the zero solution is also discussed. In the linear ca...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2021.1.18 |
| Online Access: | http://acta.bibl.u-szeged.hu/73670 |
| Tartalmi kivonat: | The present study is concerned with the rectifiability of orbits for the twodimensional nonautonomous differential systems. Criteria are given whether the orbit has a finite length (rectifiable) or not (nonrectifiable). The global attractivity of the zero solution is also discussed. In the linear case, a necessary and sufficient condition can be obtained. Some examples and numerical simulations are presented to explain the results. |
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| Terjedelem/Fizikai jellemzők: | 23 |
| ISSN: | 1417-3875 |