Oscillation theorems for linear matrix Hamiltonian systems

摘要

Using a matrix linear transformation which preserves oscillatory property, some new oscillation criteria for the following linear matrix Hamiltonian systemU′=(A(t)-λ(t)I)U+B(t)V,V′=C(t)U+(μ(t)I-A∗(t))V,t⩾t0are obtained, which improve and generalize some recent results in literature.