| Title:
|
Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations (English) |
| Author:
|
Thandapani, E. |
| Author:
|
Arul, R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
149-161 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0 \] where $m$ is even, is studied. Examples are included to illustrate the results. (English) |
| Keyword:
|
higher order difference equation |
| Keyword:
|
oscillation |
| MSC:
|
39A11 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 0954.39002 |
| idMR:
|
MR1676817 |
| . |
| Date available:
|
2009-09-24T10:20:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127475 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] R.P. Agarwal: Properties of solutions of higher order nonlinear difference equations II.An. Univ. AI.I. Cuza. Iasi 29 (1983), 85–96. Zbl 0599.39002, MR 0739573 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[9] J. Popenda: Oscillation and nonoscillation theorems for second order difference equations.J. Math. Anal. Appl. 123 (1987), 34–38. Zbl 0612.39002, MR 0881528, 10.1016/0022-247X(87)90291-5 |
| Reference:
|
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| Reference:
|
[11] E. Thandapani: Oscillation theorems for second order damped nonlinear difference equations.Czechoslovak Math. J. 45(120) (1995), 327–335. Zbl 0838.39003, MR 1331469 |
| Reference:
|
[12] E. Thandapani, P. Sundaram and B.S. Lalli: Oscillation theorems for higher order nonlinear delay difference equations.Computers Math. Applic. 32 (1996), 111–117. MR 1398552, 10.1016/0898-1221(96)00116-2 |
| Reference:
|
[13] E. Thandapani, P. Sundaram, J.R. Graef, A. Miciano and P.W. Spikes: Classification of nonoscillatory solutions of higher order neutral type difference equations.Arch. Math. (Brno) 31 (1995), 263–277. MR 1390585 |
| Reference:
|
[14] E. Thandapani and P. Sundaram: Oscillation theorems for some even order nonlinear difference equations.J. Nonlinear Diff. Eqn. 4 (1996) (to appear). |
| Reference:
|
[15] P.J.Y. Wong and R.P. Agarwal: Oscillation theorems and existence of positive monotone solutions for second order non linear difference equations.Math. Comp. Modelling 21 (1995), 63–84. MR 1316120, 10.1016/0895-7177(94)00215-A |
| Reference:
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| Reference:
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| Reference:
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| . |
