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Title: On the asymptotic behaviour of the solutions of nonlinear delay differential system (English)
Author: Futák, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 31
Issue: 3
Year: 1981
Pages: 233-242
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Category: math
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MSC: 34K25
idZBL: Zbl 0472.34045
idMR: MR621914
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Date available: 2009-09-25T09:14:52Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/133188
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Reference: [1] BAUER F., WONG J. S. W.: On asymptotic behavior of perturbed linear systems.J. Diff. Equat., 6, 142-153. MR 0239213
Reference: [2] CESARI L.: Asymptotic behavior and stability problems in ordinary differential equations.Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959. Zbl 0082.07602, MR 0118904
Reference: [3] ELŠGOLC, LE. E., NORKIN S. B.: Vedenie v teoriju differenciaľnych uravnenij s otklonjajuščímsja argumentom.„Nauka" 1971, Moskva.
Reference: [4] FUTÁK J.: On existence and asymptotic behavior of solutions of nonlinear delay differential system.Archiv. Math., 1, 1978, Brno.
Reference: [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, MR 0257486
Reference: [6] HOSAM EL-DIN: On the asymptotic properties of solutions of nonlinear systems.Arch. Math., 4, 1976, 179-190. Zbl 0353.34049, MR 0473366
Reference: [7] KATO J.: The asymptotic equivalence of systems of functional differential equations.J. Diff. Equat. 1, 1965, 306-332. Zbl 0151.10202, MR 0177221
Reference: [8] ŠVEC M.: Asymptotic relationship between solutions of two systems of differential equations.Czechosl. Math. J., 24 (99) 1974, 44-58. Zbl 0322.34037, MR 0348202
Reference: [9] ŠVEC M.: Some properties of functional differential equations.Bolletino U.M.I., (4) 11, Suppl. fasc. 3, 1975, 467-477. MR 0430476
Reference: [10] TRENCH W. F.: Asymptotic behavior of solutions of $Lu = g(t, u, ..., u^{(k-1)}).J. Diff. Equat. 11, 1972, 38-48. MR 0293195
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