Abstract and Applied Analysis
Volume 2012 (2012), Article ID 358027, 11 pages
Research Article

Relations between Solutions of Differential Equations and Small Functions

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received 2 November 2011; Accepted 11 January 2012

Academic Editor: Simeon Reich

Copyright © 2012 Wei Liu and Zong-Xuan Chen. 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 investigate relations between solutions, their derivatives of differential equation f(k)+Ak1f(k1)++A1f+A0f=0, and functions of small growth, where Aj  (j=0,1,,k1) are entire functions of finite order. By these relations, we see that every transcendental solution and its derivative of above equation have infinitely many fixed points.