Article Contents
Article Contents

# Direct exponential ordering for neutral compartmental systems with non-autonomous $\mathbf{D}$-operator

• We study closed compartmental systems described by neutral functional differential equations with non-autonomous stable $D$-operator which are monotone for the direct exponential ordering. Under some appropriate conditions on the induced semiflow including uniform stability for the exponential order and the differentiability of the $D$-operator along the base flow, we establish the 1-covering property of omega-limit sets, in order to describe the long-term behavior of the trajectories.
Mathematics Subject Classification: 37B55, 34K40, 34K14.

 Citation:

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