Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 960365, 6 pages
doi:10.1155/2010/960365
Research Article

An Upper Bound on the Critical Value β∗ Involved in the Blasius Problem

G. C. Yang1,2

1School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China
2College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China

Received 21 February 2010; Revised 29 April 2010; Accepted 6 May 2010

Academic Editor: Michel C. Chipot

Copyright © 2010 G. C. Yang. 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

Utilizing the Schauder fixed point theorem to study existence on positive solutions of an integral equation, we obtain an upper bound of the critical value β∗ involved in the Blasius problem, in particular, β∗<−18733/105=−0.18733. Previous results only presented a lower bound β∗≥−1/2 and numerical investigations β∗≐−0.3541.