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References:
1. O. Arino I. Györi, M. Pituk: Asymptotically diagonal delay differential systems. J. Math. Anal. Appl. 204(1996), 701–728. MR 1422768
2. O. Arino, and M. Pituk: Convergence in asymptotically autonomouos functional differential equations. J. Math. Anal. Appl. 237(1999), 376–392. MR 1708180
3. F.V. Atkinson, and J.R. Haddock: Criteria for asymptotic constancy of solutions of functional differential equations. J. Math. Anal. Appl. 91(1983), 410–423. MR 0690880
4. R. Bellman, and K.L. Cooke: Differential-difference Equations. Mathematics in science and engineering, A series of Monographs and Textbooks, New York, London, Academic Press, 1963. MR 0147745
5. J. Čermák: On the asymptotic behaviour of solutions of certain functional differential equations. Math. Slovaca 48(1998), 187–212. MR 1647674
6. J. Čermák: The asymptotic bounds of solutions of linear delay systems. J. Math. Anal. Appl. 225(1998), 373–388. MR 1644331
7. J. Čermák: Asymptotic estimation for functional differential equations with several delays. Arch. Math. 35(1999), 337–345. MR 1744521
8. J. Čermák: Note on canonical forms for functional differential equations. Math. Pann. 11(2000), 29–39. MR 1740739
9. J. Diblík: A criterion for convergence of solutions of homogeneous delay linear differential equations. Ann. Polon. Math. LXXII. 2(1999), 115–130. MR 1737068
10. J. Diblík: Asymptotic representation of solutions of equation $\dot{y}(t) = \beta(t)[y(t) − y(t − \tau (t))]$. J. Math. Anal. Appl. 217(1998), 200–215.
11. I. Györi, M. Pituk: Comparison theorems and asymptotic equilibrium for delay differential and difference equations. Dynamic Systems and Appl. 5(1996), 277–302. MR 1396192
12. I. Györi, M. Pituk: L^2 -perturbation of a linear delay differential equation. J. Math. Anal. Appl. 195(1995), 415–427. MR 1354552
13. J. Hale, and S.V. Lunel: Introduction to Functional Differential Equations. Springer-Verlag, 1993. MR 1243878
14. T. Krisztin: Asymptotic estimation for functional differential equations via Lyapunov functions. Colloquia Mathematica Societatis János Bolyai, 53, Qualitative theory of differential equations, Szeged, 1986, 1–12.
15. T. Krisztin: On the rate of convergence of solutions of functional differential equations. Funkcial. Ekvac. 29(1986), 1–10. MR 0865210 | Zbl 0601.34046
16. T. Krisztin: A note on the convergence of the solutions of a linear functional differential equation. J. Math. Anal. Appl. 145(1990), 17–25. MR 1031171 | Zbl 0693.45012
17. K. Murakami: Asymptotic constancy for systems of delay differential equations. Nonl. Analysis, Theory, Methods and Appl. 30(1997), 4595–4606. MR 1603444 | Zbl 0959.34058
18. S.N. Zhang: Asymptotic behaviour and structure of solutions for equation $\dot{x}(t) = p(t)[x(t) − x(t − 1)]$. J. Anhui University (Natural Science Edition) 2 (1981), 11–21. [In Chinese]

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