Ncube Israel: Existence, uniqueness, and global asymptotic stability of an equilibrium in a multiple unbounded distributed delay network. (2020)
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Abstract
By employing the notion of M-matrices and Banach’s contraction mapping principle, we provide complete characterisation of the existence and uniqueness of an equilibrium of a Cohen–Grossberg–Hopfield-type neural network endowed with multiple unbounded distributed time delays. Invoking similar arguments, and by constructing a suitable Lyapunov functional, we establish sufficient conditions for the global asymptotic stability of the equilibrium, independent of time delays.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 59 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.59 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 9-11. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Dec. 01. 08:11 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/70943 |
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