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...

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Elmentve itt :
Bibliográfiai részletek
Szerzők: Korman Philip
Peng Guanying
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Hamilton-rendszer, Dinamikus rendszer
Online Access:http://acta.bibl.u-szeged.hu/55751
Leíró adatok
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.
Terjedelem/Fizikai jellemzők:1-7
ISSN:1417-3875