CONJUGATE POINTS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS

Abstract

The paper of which the present article is itself an abstract is concerned with locating zeros of nonnull solutions of differential systems of the formcplx=fwhere r(x) and p(x) are continous and r(x) is positive for x ≥ a. When r(x) = 1 and p(x) = αx + β, necessary conditions and sufficient conditions are pro-vided that the interval (a,b] contain n zeros. The results are, of course, of importanceconsiderably beyond the case when p(x) is linear.