Advances in Difference Equations
Volume 2009 (2009), Article ID 562329, 10 pages
Existence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
1School of Science, University of Jinan, Jinan, Shandong 250022, China
2School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China
3Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA
Received 5 March 2009; Revised 24 June 2009; Accepted 24 August 2009
Academic Editor: Alberto Cabada
Copyright © 2009 Tongxing Li 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.
We employ Kranoselskii's fixed point theorem to establish the
existence of nonoscillatory solutions to the second-order neutral delay dynamic equation on a time scale 𝕋. To dwell upon the importance of our results, one interesting example is also included.