a1 Department of Mathematics, University of Birmingham, Birmingham B15 2TT, England
a2 Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294, U.S.A.
a3 Department of Mathematics, Western Washington University, Bellingham, Washington 98225, U.S.A.
Limit-point and limit-circle criteria are given for the generalised Sturm-Liouville differential expression
(i) p, q, and w are real-valued on [a, b),
(ii) p−1, q, w are locally Lebesgue integrable on [a, b),
(iii) w > 0 almost everywhere on [a, b) and the principal coefficient p is allowed toassume both positive and negative values.
(Received January 15 1985)
(Revised January 09 1986)