Existence, uniqueness, and global asymptotic stability of an equilibrium in a multiple unbounded distributed delay network
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 argumen...
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Dokumentumtípus: | Folyóirat |
Megjelent: |
2020
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Sorozat: | Electronic journal of qualitative theory of differential equations
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Kulcsszavak: | Differenciálegyenlet |
doi: | 10.14232/ejqtde.2020.1.59 |
Online Access: | http://acta.bibl.u-szeged.hu/70943 |
Tartalmi kivonat: | 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. |
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ISSN: | 1417-3875 |