Journal of Applied Mathematics and Stochastic Analysis 
Volume 2008 (2008), Article ID 589480, 11 pages
doi:10.1155/2008/589480
Research Article

Unbounded Solutions of a Boundary Value Problem for Abstract nth-Order Differential Equations on an Infinite Interval

Zhenbin Liu,1,2 Lishan Liu,2,3 Yonghong Wu,3 and Jing Zhao1

 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

Recommended by Aizicovici Sergiu

Abstract

The existence of unbounded nonnegative solutions of a boundary value problem for nth-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.