Conjugacy criteria for a 2n-dimensional linear Hamiltonian system (Q5950474)

This paper is devoted to the conjugacy for the \(2n\)-dimensional linear Hamiltonian system \[ u'= A(x)u+ B(x)v,\quad v'= C(x)u- A^*(x)v,\tag{1} \] where \(A(x)\), \(B(x)= B^*(x)> 0\), \(C(x)= C^*(x)\) are \(n\times n\)-matrices of continuous functions on \((\alpha,\beta)\), \(-\infty\leq\alpha<\beta\leq+\infty\). The authors present conjugacy criteria for (1).