Oscillation Criteria for Linear Matrix Hamiltonian Systems

In this paper we present oscillation criteria in terms of the coefficient functions for the matrix linear Hamiltonian system U′=A(x) U+B(x) V, V′=C(x) U−A*(x) V under the hypothesis H: A(x), B(x)=B*(x)>0 and C(x)=C*(x) are n×n matrices of real valued continuous functions on the interval I=[a, ∞), (−∞