Asymptotically linear Hamiltonian system

作者：Jung Tacksun; Choi Q Heung^*

来源：Nonlinear Analysis: Real World Applications , 2013, 14(3): 1417-1424.

DOI：10.1016/j.nonrwa.2012.10.005

• Hamiltonian system
• Asymptotical linearity
• Variational reduction method
• Critical point theory
• Variational method
• (PS)(c) condition

We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a theorem which shows the existence of at least three 2 pi-periodic solutions for the asymptotically linear Hamiltonian system. We obtain this result by the variational reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory and the variational method.

• 出版日期2013-6