Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640613 | Journal of Computational and Applied Mathematics | 2010 | 20 Pages |
Abstract
We consider extensions, developments and modifications of a result due to Halanay, and the application of “Halanay-type inequalities” in the analysis and numerics of retarded functional-differential equations, difference equations, and retarded functional-difference equations. Our emphasis is on the variety, structure and development, and future development, of Halanay-type results and their applications. We classify and present novel results of Halanay type (linear and non-linear, discrete, semi-discrete, and continuous) and establish their relevance to delay-differential equations, discretized analogues (we consider ϑϑ-methods), and difference equations. A rôle for such results in stability and contractivity analysis is made apparent.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Christopher T.H. Baker,