Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 123403, 13 pages
The Boundary Crossing Theorem and the Maximal Stability Interval
1División de Ciencias Básicas e Ingeniería, Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, Avenida San Rafael Atlixco no. 186, Col. Vicentina, 09340 México, DF, Mexico
2División de Ciencias Exactas y Naturales, Departamento de Matemáticas, Universidad de Sonora, Boulevard Rosales y Luis Encinas s/n, Col. Centro, 83000, Hermosillo, Son, Mexico
Received 9 October 2010; Accepted 11 March 2011
Academic Editor: J. Jiang
Copyright © 2011 Jorge-Antonio López-Renteria 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.
The boundary crossing theorem and the zero exclusion principle are very
useful tools in the study of the stability of family of polynomials. Although both of these theorem seem intuitively obvious, they can be used for proving important results. In this paper, we give generalizations of these two theorems and we apply such generalizations for finding the maximal stability interval.