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Title: On the oscillation of certain neutral difference equations (English)
Author: Grace, S. R.
Author: Hamedani, G. G.
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959
Volume: 125
Issue: 3
Year: 2000
Pages: 307-321
Summary lang: English
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Category: math
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Summary: Various new criteria for the oscillation of nonlinear neutral difference equations of the form \BTRI^i (x_n-x_{n-h})+q_n |x_{n-g}|^c \sgn x_{n-g}=0,\quad i=1,2,3 and c>0, are established. (English)
Keyword: nonlinear neutral difference equations
Keyword: oscillation
Keyword: asymptotic behavior
Keyword: oscillatory solutions
Keyword: asymptotic behavior of solutions
MSC: 34K25
MSC: 34K99
MSC: 39A10
MSC: 39A11
idZBL: Zbl 0969.39006
idMR: MR1790122
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Date available: 2009-09-24T21:43:45Z
Last updated: 2015-09-15
Stable URL: http://hdl.handle.net/10338.dmlcz/126132
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Reference: [9] B. S. Lalli S. R. Grace: Oscillation theorems for second order neutral difference equations.Appl. Math. Comput. 62 (1994), 47-60. MR 1274100, 10.1016/0096-3003(94)90132-5
Reference: [10] Ch. G. Philos: Oscillation in a class of difference equations.Appl. Math. Comput. 48 (1992), 45-57. 10.1016/0096-3003(92)90017-U
Reference: [11] Ch. G. Philos Y. G. Sficas: Positive solutions of difference equations.Proc. Amer. Math. Soc. 108 (1990), 107-115. MR 1024260, 10.1090/S0002-9939-1990-1024260-5
Reference: [12] J. Yu Z. Wang C. Qian: Oscillation of neutral delay differential equations.Bull. Austral. Math. Soc. 45 (1992), 195-200. MR 1155477, 10.1017/S0004972700030057
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