In this paper we give some results on the existence of periodic solutions to the second order Hamiltonian system: ü= -V’(t, u) where V ϵ £2(R×Ω, R) and Ω is an open set of R” with non-empty bounded complement R”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|→ +∞.
Periodic solutions to second order Hamiltonian systems in an unbounded potential well / Greco, Carlo. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 105:1(1987), pp. 1-15. [10.1017/S0308210500021867]
Periodic solutions to second order Hamiltonian systems in an unbounded potential well
Carlo Greco
1987-01-01
Abstract
In this paper we give some results on the existence of periodic solutions to the second order Hamiltonian system: ü= -V’(t, u) where V ϵ £2(R×Ω, R) and Ω is an open set of R” with non-empty bounded complement R”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|→ +∞.File in questo prodotto:
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