JournalszaaVol. 34, No. 1pp. 27–41

Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems

  • Chengjun Guo

    Guangdong University of Technology, Guangzhou, China

  • Donal O'Regan

    National University of Ireland, Galway, Ireland

  • Chengjiang Wang

    Guangdong University of Technology, Guangzhou, China

  • Ravi P. Agarwal

    Texas A&M University, Kingsville, United States
Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems cover
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Abstract

Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system

where depends periodically on and is superquadratic.

Cite this article

Chengjun Guo, Donal O'Regan, Chengjiang Wang, Ravi P. Agarwal, Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems. Z. Anal. Anwend. 34 (2015), no. 1, pp. 27–41

DOI 10.4171/ZAA/1527