| Title:
|
Second order linear difference equations over discrete Hardy fields (English) |
| Author:
|
Ramayyan, A. |
| Author:
|
Thandapani, E. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
[181]-187 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations. (English) |
| Keyword:
|
discrete Hardy field |
| Keyword:
|
second order difference equation |
| MSC:
|
12H10 |
| MSC:
|
39A10 |
| idZBL:
|
Zbl 1274.39012 |
| idMR:
|
MR1621510 |
| . |
| Date available:
|
2009-09-24T19:15:01Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135197 |
| . |
| Reference:
|
[1] Agarwal R. P.: Difference Equations and Inequalities.Marcel Dekker, New York 1992 Zbl 0952.39001, MR 1155840 |
| Reference:
|
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| Reference:
|
[3] Boshernitzan M.: Discrete orders of infinity.Amer. J. Math. 106 (1984), 1147–1198 Zbl 0602.26003, MR 0761583, 10.2307/2374277 |
| Reference:
|
[4] Mickens R. R.: Difference Equations.Van Nostrand Reinhold, New York 1990 Zbl 0963.39005, MR 1158461 |
| Reference:
|
[5] Ramayyan A.: On $n$th order differential equations over Hardy fields.Kybernetika 30 (1994), 461–470 Zbl 0822.34033, MR 1303296 |
| Reference:
|
[6] Rosenlicht M.: Hardy fields.J. Math. Anal. Appl. 93 (1983), 294–311 Zbl 0518.12014, MR 0700146 |
| Reference:
|
[7] Rosenlicht M.: The rank of a Hardy field.Trans. Amer. Math. Soc. 280 (1983), 659–671 Zbl 0536.12015, MR 0716843, 10.1090/S0002-9947-1983-0716843-5 |
| Reference:
|
[8] Rosenlicht M.: Asymptotic solution of $y^{\prime \prime }=F(x)\,y$.J. Math. Anal. Appl. 189 (1995), 640–650 MR 1312544, 10.1006/jmaa.1995.1042 |
| Reference:
|
[9] Thandapani E., Graef J. R., Spikes P. W.: Monotonicity and summability of solution of a second order nonlinear difference equation.Bull. Inst. Math. Acad. Sinica 23 (1995), 343–356 MR 1367370 |
| . |
