A NOTE ON A 2-POINT BOUNDARY-VALUE PROBLEM ARISING FROM A LIQUID-METAL FLOW

A two-point boundary value problem with a positive parameter Q arising in the study of surface-tension-induced flows of a liquid metal or se miconductor is studied. On the basis of the upper-lower solution metho d and Schauder's fixed-point theorem, it is proved that when 0 less th an or equal to Q less than or equal to 13.213, the problem admits a so lution. This improves a recent result where 0 less than or equal to Q less than or equal to 1.