Abstract

An n-th order homogeneous linear differential equation is said to be &conjugate on the interval I of the real numbers provided no nontrivial solution of the equation has more than n-l zeros (counting multiplicity) in I. In [l] the author developed a disconjugacy condition for L[y] Fe y’” +a,y” + a,y’ + a,y = 0 that involves the sup norm of a, and us on the interval [a, b]. In the present paper, we give a disconjugacy condition that involves the integrals of the coefficients a, , a, and us. This condition is

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