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Asymptotic equilibrium of retarded differential equations. (English) Zbl 0551.34040

The authors investigate the differential equation with retarded arguments \[ (1)\quad x'(t)=f(t,x(\sigma_ 1(t)),\dots,x(\sigma_ m(t))),\quad t\geq t_ 0 \] where f is continuous and \(\sigma_ j(t)\leq t\), \(\lim_{t\to \infty}\sigma_ j(t)=\infty\), and prove (using a simple comparison theorem) some results on the existence of finite limits at \(t=\infty\) of solutions of (1).
Reviewer: S.O.Londen

MSC:

34K25 Asymptotic theory of functional-differential equations
34K20 Stability theory of functional-differential equations
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