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On the asymptotic behaviour of the solutions of nonliner delay differential system. (English) Zbl 0472.34045
##### MSC:
 34K25 Asymptotic theory of functional-differential equations
##### Keywords:
asymptotic equivalence of systems
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##### References:
 [1] BAUER F., WONG J. S. W.: On asymptotic behavior of perturbed linear systems. J. Diff. Equat., 6, 142-153. · Zbl 0201.11703 [2] CESARI L.: Asymptotic behavior and stability problems in ordinary differential equations. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959. · Zbl 0082.07602 [3] ELŠGOLC, LE. E., NORKIN S. B.: Vedenie v teoriju differenciaľnych uravnenij s otklonjajuščímsja argumentom. ”Nauka” 1971, Moskva. [4] FUTÁK J.: On existence and asymptotic behavior of solutions of nonlinear delay differential system. Archiv. Math., 1, 1978, Brno. [5] HALLAM T. G., HEIDEL J. W.: The asymptotic manifolds of a perturbed linear system of differential equations. Trans. Amer. Math. Soc. 149, 1970, 233-241. · Zbl 0186.41502 [6] HOSAM EL-DIN: On the asymptotic properties of solutions of nonlinear systems. Arch. Math., 4, 1976, 179-190. · Zbl 0353.34049 [7] KATO J.: The asymptotic equivalence of systems of functional differential equations. J. Diff. Equat. 1, 1965, 306-332. · Zbl 0151.10202 [8] ŠVEC M.: Asymptotic relationship between solutions of two systems of differential equations. Czechosl. Math. J., 24 (99) 1974, 44-58. · Zbl 0322.34037 [9] ŠVEC M.: Some properties of functional differential equations. Bolletino U.M.I., (4) 11, Suppl. fasc. 3, 1975, 467-477. [10] TRENCH W. F.: Asymptotic behavior of solutions of $$Lu = g(t, u, ..., u^{(k-1)}). J. Diff. Equat. 11, 1972, 38-48.$$ · Zbl 0235.34083
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