Bounded solutions for a class of Hamiltonian systems
We obtain solutions bounded for all t ∈ (−∞, ∞) of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on (−L, L), with L → ∞. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing pas...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Hamilton-rendszer, Dinamikus rendszer |
| Online Access: | http://acta.bibl.u-szeged.hu/55751 |
| Tartalmi kivonat: | We obtain solutions bounded for all t ∈ (−∞, ∞) of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on (−L, L), with L → ∞. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing passage to the limit, via a diagonal sequence. |
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| Terjedelem/Fizikai jellemzők: | 1-7 |
| ISSN: | 1417-3875 |