Existence, uniqueness, and global asymptotic stability of an equilibrium in a multiple unbounded distributed delay network
Israel Ncube · Electronic journal of qualitative theory of differential equations · 2020
By employing the notion of M-matrices and Banach's contraction mapping theorem, we provide complete characterisation of the existence and uniqueness of an equilibrium of a Cohen–Grossberg–Hopfield-type neural network endowed with multiple 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.