MULTIPLICITY RESULTS FOR PERIODIC SOLUTIONS TO A CLASS OF SECOND ORDER DELAY DIFFERENTIAL EQUATIONS

作者：Guo, Zhiming^*; Zhang, Xiaomin

来源：Communications on Pure and Applied Analysis, 2010, 9(6): 1529-1542.

DOI：10.3934/cpaa.2010.9.1529

• Second order delay differential equations
• multiple periodic solutions
• Hamiltonian systems
• critical point theory
• S(1) geometrical index theory

In this paper, we study the following second order delay differential equation
x ''(t) - - f(x(t), x(t - tau)).
When f possesses a symmetric property and grows asymptotically linear both at zero and at infinity, some new results for the existence and multiplicity of periodic solutions are obtained by using the critical point theory and S(1) geometrical index theory.

• 出版日期2010-11
• 单位广州大学