| 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 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
307-321 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 |
| DOI:
|
10.21136/MB.2000.126132 |
| . |
| Date available:
|
2009-09-24T21:43:45Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126132 |
| . |
| Reference:
|
[1] D. A. Gedrgion E. A. Grove G. Ladas: Oscillation of neutral difference equations.Appl. Anal. 33 (1989), 243-253. 10.1080/00036818908839876 |
| Reference:
|
[2] S. R. Grace B. S. Lalli: Oscillation theorems for forced neutral difference equations.J. Math. Anal. Appl. 187 (1994), 91-106. MR 1296607, 10.1006/jmaa.1994.1346 |
| Reference:
|
[3] S. R. Grace B. S. Lalli: Oscillation theorems for second order delay and neutral difference equations.Utilitas Math. 45 (1994), 197-211. MR 1284030 |
| Reference:
|
[4] I. Györi G. Ladas: Oscillation Theory of Delay Differential Equations with Applications.Oxford University Presss, Oxford, 1991. MR 1168471 |
| Reference:
|
[5] J. W. Hooker W. T. Patula: A second order nonlinear difference equation: Oscillation and asymptotic behavior.J. Math. Anal. Appl. 91 (1983), 9-29. MR 0688528, 10.1016/0022-247X(83)90088-4 |
| Reference:
|
[6] J. W. Hooker W. T. Patula: Growth and oscillation properties of solutions of a fourth order linear difference equation.J. Austral. Math. Soc. Ser. B SS (1985), 310-328. MR 0776319 |
| Reference:
|
[7] G. Ladas C. Qian: Comparison results and linearized oscillations for higher order difference equations.Internat. J. Math. Math. Sci. 15 (1992), 129-142. MR 1143937, 10.1155/S0161171292000152 |
| Reference:
|
[8] B. S. Lalli B. G. Zhang, Li Jan Zhao: On oscillation and existence of positive solutions of neutral difference equations.J. Math. Anal. Appl. 158 (1991), 213-233. MR 1113411, 10.1016/0022-247X(91)90278-8 |
| 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 |
| Reference:
|
[10] Ch. G. Philos: Oscillation in a class of difference equations.Appl. Math. Comput. 48 (1992), 45-57. |
| 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 |
| . |
