Iteration inequalities of the VIaslov P-index theory with applications

作者：Liu, Chungen^*; Tang, Shanshan

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 127: 215-234.

DOI：10.1016/j.na.2015.06.029

• Maslov P-index
• Iteration inequality
• Minimal period problem
• P-symmetric periodic solution
• Hamiltonian systems

In this paper, the P-splitting numbers and P-mean index for a symplectic path starting from the identity with P E Sp(2n) are defined first, and then by using the Maslov (P, w)-index theory for a symplectic path, various inequalities of the Maslov P-index theory for iterations of symplectic paths starting from the identity are established. As an application, these results are used to study the minimal period problem of P-symmetric periodic solution of nonlinear autonomous Hamiltonian systems.

• 出版日期2015-11
• 单位南开大学