摘要
In this paper, we study a bounded-below singular Hamiltonian system. Sufficient and necessary conditions are obtained for the existence and the number of eigenvalues on the left-axis. The main results of this paper are the extension and improvement of Weyl spectral theorem for singular sccond order differential equations.
In this paper, we study a bounded-below singular Hamiltonian system. Sufficient and necessary conditions are obtained for the existence and the number of eigenvalues on the left-axis. The main results of this paper are the extension and improvement of Weyl spectral theorem for singular sccond order differential equations.
基金
This work was supported by Ningbo Doctoral Science Foundation (No.2004A620018) National Natural Science Foundation of China (No.10471069).
