Journal of Applied Mathematics and Stochastic Analysis
Volume 2008 (2008), Article ID 589480, 11 pages
Unbounded Solutions of a Boundary Value Problem for Abstract th-Order Differential Equations on an Infinite Interval
1School of Sciences, Qingdao Agricultural University, Shandong 266109, Qingdao, China
2School of Mathematical Sciences, Qufu Normal University, Shandong 273165, Qufu, China
3Department of Mathematics and Statistics, Curtin University of Technology, Perth 6845, WA, Australia
Received 29 January 2007; Revised 28 May 2007; Accepted 17 October 2007
Academic Editor: Aizicovici Sergiu
Copyright © 2008 Zhenbin Liu et al. 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.
The existence of unbounded nonnegative solutions of a boundary value problem for th-order differential equations defined on an infinite interval is obtained by means of the Mönch fixed-point theorem. An example is then presented to demonstrate the application of our results.