Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms

Abstract

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.

Keywords

• second order hamiltonian systems
• homoclinic orbits
• superlinear