Philos, Ch. G.; Tsamatos, P. Ch. Asymptotic equilibrium of retarded differential equations. (English) Zbl 0551.34040 Funkc. Ekvacioj, Ser. Int. 26, 281-293 (1983). 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 Cited in 4 Documents MSC: 34K25 Asymptotic theory of functional-differential equations 34K20 Stability theory of functional-differential equations Keywords:retarded arguments; finite limits PDFBibTeX XMLCite \textit{Ch. G. Philos} and \textit{P. Ch. Tsamatos}, Funkc. Ekvacioj, Ser. Int. 26, 281--293 (1983; Zbl 0551.34040)