Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 60239, 9 pages
Slowly Oscillating Solutions for Differential Equations with Strictly
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 2 August 2006; Accepted 28 February 2007
Academic Editor: Ondrej Dosly
Copyright © 2007 Chuanyi Zhang and Yali Guo. 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 authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation
with strictly monotone operator. Particularly, the authors give necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation , where denotes the gradient of the convex function on .