Zeros of solutions and of Wronskians for the differential equation $L\sb ny+p(x)y=0$

Abstract

ABSTRACT. The equation which is studied here is LnY+p(x)y = 0, a ::; x ::; b , where Ln is a disconjugate differential operator and p(x) is of a fixed sign. We prove that certain solutions of the equation and corresponding odd-order minors of the Wronskian have an equal number of zeros, and we apply this property to oscillation problems.