ABSTRACT
Theorem 3 (Sturm's Separation Theorem). Two nontrivial solutions y[l] and y[2] oj l [Yk) = 0, which are not proportional, cannot have a common zero. Ify [l ] satisfying y!;,] = 0 has a generalized zero in (n , n + 1), then y [2] has a generalized zero in (m, n + 1] . /fy[l] has generalized zeros in (m, m + 1] and (n , n + 1] , then y[2] has a generalized zero in (m, n + 1].
