Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems

✍ Scribed by X.H. Tang; Jianchu Jiang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 335 KB
• Volume: 59
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2010.03.039

✦ Synopsis

We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system

The existence of a nontrivial periodic solution is obtained when ∇W is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when ∇W is superlinear.