Conjugate points of second-order linear differential equations.
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) = alphax + beta, 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.
Leighton
W
W
UNIVERSITY OF MISSOURI, COLUMBIA.