| Title:
|
Asymptotic properties of solutions of higher order difference equations (English) |
| Author:
|
Migda, Janusz |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
29-39 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Asymptotic properties of solutions of the difference equation of the form \[ \Delta ^m x_n=a_n\varphi (x_{\tau _1(n)},\dots ,x_{\tau _k(n)})+b_n \] are studied. Conditions under which every (every bounded) solution of the equation $\Delta ^my_n=b_n$ is asymptotically equivalent to some solution of the above equation are obtained.\\ (English) |
| Keyword:
|
difference equation |
| Keyword:
|
asymptotic behavior |
| MSC:
|
39A10 |
| idZBL:
|
Zbl 1224.39021 |
| idMR:
|
MR2643353 |
| DOI:
|
10.21136/MB.2010.140680 |
| . |
| Date available:
|
2010-07-20T18:20:34Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140680 |
| . |
| 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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| . |
