| Title:
|
On the asymptotically periodic solution of some linear difference equations (English) |
| Author:
|
Popenda, Jerzy |
| Author:
|
Schmeidel, Ewa |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
13-19 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\;\; n \in N \] sufficient conditions for the existence of an asymptotically periodic solutions are given. (English) |
| Keyword:
|
difference equation |
| Keyword:
|
asymptotic behaviour |
| MSC:
|
39A10 |
| MSC:
|
39A11 |
| idZBL:
|
Zbl 1051.39010 |
| idMR:
|
MR1684519 |
| . |
| Date available:
|
2008-06-06T22:22:29Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107681 |
| . |
| Reference:
|
[1] Agarwal R. P., Popenda J.: Periodic Solutions of First Order Linear Difference Equations.Math. Comput. Modelling 22, 1, 1995, 11-19. Zbl 0871.39002, MR 1343651 |
| Reference:
|
[2] Musielak R., Popenda J.: The Periodic Solutions of the Second Order Nonlinear Difference Equation.Publ. Mat. 32, 1988, 49-56. Zbl 0649.39005, MR 0939768 |
| Reference:
|
[3] Popenda J., Schmeidel E.: On the Asymptotic Behavior of Solutions of Linear Difference Equations.Publ. Mat. 38, 1994, 3-9. Zbl 0842.39003, MR 1291948 |
| Reference:
|
[4] Popenda J., Schmeidel E.: On the Asymptotic Behaviour of Solution of Some Difference Equations of Infinite Order.(submitted). |
| . |
