International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 10, Pages 669-677
doi:10.1155/S0161171201003192
On the existence of solution of a two-point boundary value problem in a cylindrical floating zone
1Research Centre of Financial Engineering, Department of Finance, Dongbei University of Finance and Economics, Box 74, Dalian 116025, China
2Department of Economics, Dongbei University of Finance and Economics, Box 74, Dalian 116025, China
Received 19 February 1999
Copyright © 2001 Shi Yongdong and Du Liangsheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Existence of one solution for 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 semiconductor
is studied. On the basis of the upper-lower solution method and
Schauder's fixed point theorem, it is proved that the problem
admits a solution when 0≤Q≤12.683. This improves a recent result where 0≤Q<1.