| Title:
|
Asymptotic properties of the solutions of the second order difference equation (English) |
| Author:
|
Migda, Małgorzata |
| Author:
|
Migda, Janusz |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
467-476 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form \[ \Delta ^2 x_n = a_n \varphi (x_{n+k}) \] are studied. (English) |
| Keyword:
|
difference equation |
| Keyword:
|
asymptotic behaviour |
| MSC:
|
39A10 |
| MSC:
|
39A11 |
| idZBL:
|
Zbl 0969.39002 |
| idMR:
|
MR1679641 |
| . |
| Date available:
|
2009-02-17T10:16:03Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107674 |
| . |
| Reference:
|
[1] Agarwal, R. P.: Difference Equations and Inequalities.Marcel Dekker, New York, 1992. Zbl 0952.39001, MR 1155840 |
| Reference:
|
[2] Drozdowicz, A., Popenda, J.: Asymptotic behaviour of the solutions of the second order difference equation.Proc. Amer. Math. Soc. 99(1) (1987), 135-140. MR 0866443 |
| Reference:
|
[3] Drozdowicz, A., Popenda, J.: Asymptotic behaviour of solutions of difference equations of second order.J. of Com. and Appl. Math. 47 (1993), 141-149. MR 1237310 |
| Reference:
|
[4] Hooker, J. W., Patula, W. T.: A second order nonlinear difference equation: oscillation and asymptotic behaviour.J. Math. Anal. Appl. 91 (1983), 9-29. MR 0688528 |
| Reference:
|
[5] Migda, J.: Asymptotic properties of solutions of higher order difference equations.(in preparation). Zbl 0702.39002 |
| Reference:
|
[6] Musielak, R., Popenda, J.: The periodic solutions of the second order nonlinear difference equation.Publ. Math. 32 (1988), 49-56. MR 0939768 |
| Reference:
|
[7] Szafrański, Z., Szmanda, B.: Oscillatory properties of solutions of some difference systems.Radovi Mat. 6 (1990), 205-214. MR 1096703 |
| . |
