Instability of Discrete Systems
| dc.contributor.author | Naulin, Raul | |
| dc.contributor.author | Vanegas, Carmen J. | |
| dc.date.accessioned | 2019-03-25T20:22:57Z | |
| dc.date.available | 2019-03-25T20:22:57Z | |
| dc.date.issued | 1998-12-08 | |
| dc.description.abstract | In this paper, we give criteria for instability and asymptotic instability for the null solution to the non-autonomous system of difference equations y(t + 1) = A(t)y(t) + ƒ(t, y(t)), ƒ(t, 0) = 0, when the system x(t + 1) = A(t)x(t) is unstable. In particular for A constant, we study instability from a new point of view. Our results are obtained using the method of discrete dichotomies, and cover a class of difference systems for which instability properties cannot be deduced from the classical results by Perron and Coppel. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Naulin, R. & Vanegas, C. J. (1998). Instability of discrete systems. <i>Electronic Journal of Differential Equations, 1998,</i>(33), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7942 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Instability | |
| dc.subject | Perron's Theorem | |
| dc.subject | Discrete dichotomies | |
| dc.title | Instability of Discrete Systems | |
| dc.type | Article |