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Title: Asymptotic behaviour of solutions of two-dimensional neutral differential systems (English)
Author: Mihalíková, Božena
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 53
Issue: 3
Year: 2003
Pages: 735-741
Summary lang: English
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Category: math
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Summary: We study asymptotic properties of solutions of the system of differential equations of neutral type. (English)
Keyword: neutral equation
Keyword: oscillatory solution
Keyword: bounded solution
MSC: 34K10
MSC: 34K11
MSC: 34K15
MSC: 34K20
MSC: 34K40
idZBL: Zbl 1080.34555
idMR: MR2000065
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Date available: 2009-09-24T11:06:03Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127835
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Reference: [1] O. Arino and I.  Győri: Neccesary and sufficient conditions for oscillation of a neutral differential system with several delays.J.  Differential Equations 81 (1989), 98–105. MR 1012201, 10.1016/0022-0396(89)90179-4
Reference: [2] J.  Džurina and B. Mihalíková: Oscillation criteria for second order neutral differential equations.Math. Bohem. 2 (2000), 145–153. MR 1768803
Reference: [3] J. Džurina: On the unstable neutral differential equations of the second order.Czechoslovak Math.  J 52(127) (2002), 739–747. MR 1940055, 10.1023/B:CMAJ.0000027229.30678.0a
Reference: [4] L. H.  Erbe, Q.  Kong and B. G.  Zhang: Oscillation Theory for Functional Differential Equations.Dekker, New York, 1995. MR 1309905
Reference: [5] S. Kulcsár: On the asymptotic behavior of solutions of the second order neutral differential equations.Publ. Math. Debrecen 57 (2000), 153–161. MR 1771682
Reference: [6] P.  Marušiak: Oscillatory properties of functional differential systems of neutral type.Czechoslovak Math. J. 43(118) (1993), 649–662. MR 1258427
Reference: [7] A. F.  Ivanov and P.  Marušiak: Oscillatory properties of systems of neutral differential equations.Hiroshima Math. J. 24 (1994), 423–434. MR 1284384, 10.32917/hmj/1206128033
Reference: [8] P.  Marušiak and R.  Olach: Functional Equations.EDIS ŽU, Žilina, 2000. (Slovak)
Reference: [9] E. Špániková: Oscillatory properties of the solutions of differential system of neutral type.Arch. Math. 29 (1993), 177–185. MR 1263120
Reference: [10] E. Špániková: Oscillatory properties of the solutions of three-dimensional differential systems of neutral type.Czechoslovak Math. J. 50(125) (2000), 879–887. MR 1792977, 10.1023/A:1022429031938
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