Abstract.Comparison theorems arc proved for second order linear differential systems of the form (/?,>>')' + P,y = 0, where R, and />, are continuous n X n matrices and R, is invertible, i = 1,2.Let R and P be « X « matrices with real elements which are continuous and let R be invertible on an x-interval [a, to). We shall consider the second-order vector differential equation (E) (R(x)y')' + P(x)y = 0.If ( It is to be noted that in most of these studies the case Px = P2 is specifically excluded.
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