Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities

Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu
2018 Electronic Journal of Qualitative Theory of Differential Equations  
In this paper, we study the existence of multiple homoclinic solutions for the following second order Hamiltonian systems where L(t) satisfies a boundedness assumption which is different from the coercive condition and W is a combination of subquadratic and superquadratic terms.
doi:10.14232/ejqtde.2018.1.6 fatcat:hn7szhybkbhknmeyz4oiqiny5a