Lyapunov inequalities and stability for linear Hamiltonian systems |
| |
| Authors: | Xian-Hua Tang Meirong Zhang |
| |
| Institution: | 1. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
| |
| Abstract: | In this paper, we will establish several Lyapunov inequalities for linear Hamiltonian systems, which unite and generalize the most known ones. For planar linear Hamiltonian systems, the connection between Lyapunov inequalities and estimates of eigenvalues of stationary Dirac operators will be given, and some optimal stability criterion will be proved. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
