Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms

We obtain the existence of nontrivial homoclinic orbits for nonautonomous second order Hamiltonian systems by using critical point theory under some different superlinear conditions from those previously used in Hamiltonian systems. In particular, an example is given to illustrate our result.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Lv Haiyan
Chen Guanwei
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Hamilton-rendszer
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.61

Online Access:http://acta.bibl.u-szeged.hu/78346
Leíró adatok
Tartalmi kivonat:We obtain the existence of nontrivial homoclinic orbits for nonautonomous second order Hamiltonian systems by using critical point theory under some different superlinear conditions from those previously used in Hamiltonian systems. In particular, an example is given to illustrate our result.
ISSN:1417-3875