Systems of functional-differential equations with asymptotically constant solutions

Trench, William F.; Kusano, Takaŝi

doi:10.1090/S0002-9939-1988-0938915-2

Systems of functional-differential equations with asymptotically constant solutions
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by William F. Trench and Takaŝi Kusano PDF

Proc. Amer. Math. Soc. 104 (1988), 1091-1097 Request permission

Abstract:

Sufficient conditions are given for a nonlinear system of differential equations with deviating arguments to have solutions which approach finite limits as $t \to \infty$. 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.

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