Systems of functional-differential equations with asymptotically constant solutions

Abstract

Sufficient conditions are given for a nonlinear system of differential equations with deviating arguments to have solutions which approach finite limits as t → ∞ t \to \infty . No specific assumptions other than continuity are imposed on the deviating arguments. The nonlinearities may be superlinear, sublinear, or singular in form, or a mixture of these. Some of the results are global.