PageHeader : Funkcialaj Ekvacioj, 19 (1976) 19-26 Title : On the Existence of Continuous and Semicontinuous Title : Liapunov Functions AuthorInfo : By AuthorInfo : Pablo M. SALZBERG AuthorInfo : (Universidad Catolica de Chile, Chile) section : 0. Introduction. section : 1. A review of [4] and [5]. section : 2. Necessary and sufficient conditions for the existence of a semicontinuous Liapunov function. subsection : 2.1. Preh.minaries. subsection : 2.2. Quasifilters on preordered topological spaces. subsection : 2.3. Examples. section : References