Stumpf Eugen: On differential equations with state-dependent delay : the principles of linearized stability and instability revisited. (2016)
Preview |
Teljes mű
ejqtde_spec_002_2016_081.pdf Download (416kB) | Preview |
Abstract
This paper deals with a dynamical systems approach for studying nonlinear autonomous differential equations with bounded state-dependent delay. Starting with the semiflow generated by solutions of such an equation, we revisit the principles of linearized stability and instability enabling the local stability analysis of equilibria via linearization. In particular, we prove both principles in an elementary way by using only a quantitative version of continuous dependence of the semiflow on initial data together with basic properties of the discrete semi-dynamical system induced by iterations of some time-t-map.
| Item Type: | Journal |
|---|---|
| Other title: | Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday |
| Publication full: | Electronic journal of qualitative theory of differential equations : special edition |
| Date: | 2016 |
| Volume: | 2 |
| Number: | 81 |
| ISSN: | 1417-3875 |
| Number of Pages: | 17 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2016.1.81 |
| Uncontrolled Keywords: | Differenciálegyenlet - késleltetett |
| Additional Information: | Bibliogr.: p. 15-17. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 14:59 |
| Last Modified: | 2021. Nov. 12. 09:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73748 |
Actions (login required)
 |
View Item |
