Homoclinic solutions for a class of second order nonautonomous singular Hamiltonian systems

• Main Authors: Zhang, Ziheng, Liao, Fang-Fang, Wong, Patricia J. Y.
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/80048; http://hdl.handle.net/10220/19495
• Institution: Nanyang Technological University

We are concerned with the existence of homoclinic solutions for the following second order nonautonomous singular Hamiltonian systems ̈ ??? + ??? ( ??? ) ??? ??? ( ??? ) = 0 , (HS) where − ∞ < ??? < + ∞ , ??? = ( ??? 1 , ??? 2 , … , ??? ??? ) ∈ ℝ ??? ( ??? ≥ 3 ) , ??? ∶ ℝ → ℝ...