Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840322 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 16 Pages |
Abstract
In this paper a generalization of the delayed exponential defined by Khusainov and Shuklin (2003) [1] for autonomous linear delay systems with one delay defined by permutable matrices is given for delay systems with multiple delays and pairwise permutable matrices. Using this multidelay-exponential a solution of a Cauchy initial value problem is represented. By an application of this representation and using Pinto’s integral inequality an asymptotic stability results for some classes of nonlinear multidelay differential equations are proved.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
M. Medved’, M. Pospíšil,