Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms

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.

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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2022-01, Vol.2022 (61), p.1-9
Hauptverfasser: Lv, Haiyan, Chen, Guanwei
Format: Artikel
Sprache:eng
Schlagworte:
homoclinic orbits
second order hamiltonian systems
superlinear
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Zusammenfassung: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
1417-3875
DOI:10.14232/ejqtde.2022.1.61