Left as an open question in that paper was whether the result remains true when the restriction that the interval be open is removed. The answer to that question is yes if the interval is half-open and no if it is closed. In addition, there is the problem of giving a more exact description to the solution with distinct zeros, that is, does there exist a solution with exactly n distinct zeros all of which are simple? The answer to this question is also yes.As an application of these results it is established that the first conjugate point r)i{t) of the point t is a continuous function of the coefficients in (1). It is, by the way, not difficult using the techniques in [3] to establish that rji(t) is a continuous function of /; however, an easier proof is available using the results stated herein. The results of this paper are stated in terms of equation (1)
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