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
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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