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The time delays are assumed to be any continuous functions belonging to a given interval.
The vector-valued function h is assumed to be Lipschitz continuous on ([0,T]).
The functions П and R are assumed to be absolutely continuous, while r is measurable and almost bounded.
The activation functions are generally assumed to be continuous, differentiable, and monotonically increasing, such as the functions of sigmoid type.
The function h is assumed to be continuous and locally nonconstant.
The function (f t,x,z,cdot)) is only assumed to be continuous and locally nonconstant.
The density function allowed to differ arbitrarily across the population is assumed to be continuous.
F assumed to be continuous.
Initially the ongoing activity was assumed to be continuous.
All these functions are assumed to be sufficiently smooth and have the necessary continuous partial derivatives up to certain orders.
Let be a continuous function and assume that.
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