Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708767 | Applied Mathematics Letters | 2011 | 4 Pages |
Abstract
In this work we show that a classical result of A. Hurwitz is still very effective in studying the root analysis of the characteristic equation for a linear functional differential equation. A conjecture was made by Funakubo et al. (2006) [3] regarding the asymptotic stability condition of the zero solution of a linear integro-differential equation of Volterra type. We applied the Hurwitz theorem to the characteristic equation in question and showed the existence of a root with positive real part and solved the conjecture. The Hurwitz theorem is expected to work well for the root analysis in critical cases.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Tadayuki Hara, Sadahisa Sakata,