Abstract and Applied Analysis
Volume 2011 (2011), Article ID 208624, 20 pages
Research Article

An Optimal Lower Eigenvalue System

Department of Mathematics, College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, China

Received 8 November 2010; Accepted 6 April 2011

Academic Editor: Nicholas D. Alikakos

Copyright © 2011 Yingfan Liu. 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.


An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.