Existence of Solutions of a Two-Point Boundary Value Problem
- 34 Downloads
A two-point boundary value problem with a non-negative parameter Q arising in the study of surface tension induced flow of a liquid metal or semiconductor is studied. We prove that the problem has at least one solution for Q ≥ 0. This improves a recent result that the problem has at least one solution for 0 ≤ Q ≤ 13.21.
Keywordstwo-point boundary value problem Brouwer degree existence of solution 2000
2000 MR Subject Classification34B07 34B08
Unable to display preview. Download preview PDF.
- 6.Shi, Y.D. On the existence of solutions for a two-point boundary value problem in semiconductor physics. Mathematics in practice and theory 32(4):605–612, (2002)Google Scholar
- 7.Zhong, C.K., Fan, X.L., Chen, W.Y. Introduction to non-linear functional analysis. Lanzhou University Press, Lanzhou, 1998.Google Scholar