Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition. (7th June 2012)

• Record Type: Journal Article
• Authors: Wang, Qi; Zhang, Qingye
• Other Names: Lü Jinhu Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-06-07
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/250607
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems q ¨ − L ( t ) q + ∇ q W ( t, q ) = 0, where L ( t ) is unnecessarily positive definite for all t ∈ ℝ, and ∇ q W ( t, q ) is of at most linear growth and satisfies some twist condition between the origin and the infinity.