On the number of the periodic solutions of the nonlinear Hamiltonian system

✍ Scribed by Tacksun Jung; Q-Heung Choi

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 274 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.01.095

✦ Synopsis

Critical point theory in terms of the S 1 -invariant function and the S 1 -invariant linear subspaces (P.S.) * c condition a b s t r a c t

We give multiplicity result for the solutions of the nonlinear Hamiltonian system. We show the existence of at least m solutions for the nonlinear Hamiltonian system with some nonlinearity. We use critical point theory in terms of the S 1 -invariant function and the S 1invariant linear subspace.