On the existence of periodic solutions to second order Hamiltonian systems

In this paper, the existence of periodic solutions to the second order Hamiltonian systems is investigated. By introducing a new growth condition which generalizes the Ambrosetti–Rabinowitz condition, we prove a existence result of nontrivial T-periodic solution via the variational methods. Our resu...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Ke Xiao-Feng
Liao Jia-Feng
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Hamilton rendszerek - másodrendű, Differenciálegyenlet
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/76537
Leíró adatok
Tartalmi kivonat:In this paper, the existence of periodic solutions to the second order Hamiltonian systems is investigated. By introducing a new growth condition which generalizes the Ambrosetti–Rabinowitz condition, we prove a existence result of nontrivial T-periodic solution via the variational methods. Our result is new because it can deal with not only the superquadratic case, but also the anisotropic case which allows the potential to be superquadratic growth in only one direction and asymptotically quadratic growth in other directions.
Terjedelem/Fizikai jellemzők:12
ISSN:1417-3875