Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms

作者：Li, Xiaoli; Su, Jiabao^*; Tian, Rushun

来源：Journal of Mathematical Analysis and Applications, 2012, 385(1): 1-11.

DOI：10.1016/j.jmaa.2011.06.061

• Hamiltonian systems
• Homological linking
• Morse theory
• Periodic solutions
• Bifurcation method

We study the existence of 2 pi-periodic solutions of the second order Hamiltonian systems -sic- A(t)sic = lambda x + nu'sic(t, sic) with superlinear terms and with saddle structure near the origin. Some multiplicity results are obtained by using bifurcation method, homological linking and Morse theory.

• 出版日期2012-1-1
• 单位首都师范大学; 清华大学