期刊名称:International Journal of Differential Equations and Applications
印刷版ISSN:1311-2872
出版年度:2003
卷号:7
期号:3
DOI:10.12732/ijdea.v7i3.1258
语种:English
出版社:International Journal of Differential Equations and Applications
摘要:In this paper, we will derive a new formula for the Morse index for the linear Hamiltonian systems:$$ J \dot x+Ax=0, $$where matrix $J$ is the standard symplectic structure matrix of order $2N$ and $A$ is a constant, symmetric positive definite matrix of order $2N$, $N$ is any natural number.