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Periodic solutions to second order Hamiltonian systems in an unbounded potential well*

Published online by Cambridge University Press:  14 November 2011

C. Greco
C. Greco
Affiliation:
Dipartimento di Matematica, Università Degli Studi di Bari, Bari, Italy
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Synopsis

In this paper we give some results on the existence of periodic solutions to the second order Hamiltonian system:

where and Ω is an open set of ℝn with non-empty bounded complement ℝn\Ω; we suppose V(t, x) is periodic in t, V(t, x)→ + ∞ as x → ∂Ω and V is super (or sub)-quadratic as |x| → + ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 1 - 15
Copyright
Copyright © Royal Society of Edinburgh 1987

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