Abstract
A proof is given for the equivalence of Polya’sW- property of a linear differential equationL n (D) y=0 to the possibility of decomposingL n (D) ≡ Π 1 [D+λi(x)] in a given interval. In this case a set ofn independent solutions form a Chebyshev system in the interval. An application determines intervals of non-oscillation for solutions of linear equations of the second order.
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