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Grace, S. R., "H:[t, cc) XR?> R are continuous, h is a positive real number, and g (t)?co as t?> co. We assume that there exist a continuous function q:[t, cc)-[0, cc), and not identically zero for all large t, and a positive constant c such that", \i JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS\i0 , vol. 194, pp. 304-318, 1995.\par \par }