Open Access

Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator

Journal of Inequalities and Applications20072007:060239

DOI: 10.1155/2007/60239

Received: 2 August 2006

Accepted: 28 February 2007

Published: 23 April 2007

Abstract

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 .

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Authors’ Affiliations

(1)
Department of Mathematics, Harbin Institute of Technology

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Copyright

© C. Zhang and Y. Guo. 2007

This article is published under license to BioMed Central Ltd. 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.