Bounded solutions for a class of Hamiltonian systems

We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2018-01, Vol.2018 (81), p.1-7
Main Authors: Korman, Philip, Peng, Guanying
Format: Article
Language:English
Subjects:
a priori estimates
solutions bounded for all $t
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Summary:We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing passage to the limit, via a diagonal sequence.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2018.1.81