Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems

Chengjun Guo; Donal O'Regan; Chengjiang Wang; Ravi P. Agarwal

doi:10.4171/zaa/1527

JournalszaaVol. 34, No. 1pp. 27–41

Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems

Chengjun Guo
Guangdong University of Technology, Guangzhou, China
- MathSciNet
- zbMATH Open
Donal O'Regan
National University of Ireland, Galway, Ireland
- MathSciNet
- zbMATH Open
Chengjiang Wang
Guangdong University of Technology, Guangzhou, China
- MathSciNet
- zbMATH Open
Ravi P. Agarwal
Texas A&M University, Kingsville, United States
- MathSciNet
- zbMATH Open

Download PDF

Abstract

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

\overset{z}{¨} - K_{z} (t, z) + V_{z} (t, z) = h (t),

where $V (t, z)$ depends periodically on $t$ 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