Comments on An improved Razumikhin-type theorem and its applications [and reply]

Xu and Liu (see ibid., vol.39, no.4, p.839-41, 1994) tried to improve the well-known Razumikhin theorem on the stability of differential functional equations. The commenter states that, the proof of their main result contains an error, so the results may not be correct. In reply Bugong Xu gives a corrected result.