| Title:
|
On $n$th order differential equations over Hardy fields (English) |
| Author:
|
Ramayyan, A. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
461-470 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12H05 |
| MSC:
|
26A12 |
| MSC:
|
26A99 |
| MSC:
|
26E99 |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0822.34033 |
| idMR:
|
MR1303296 |
| . |
| Date available:
|
2009-09-24T18:49:25Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124156 |
| . |
| Reference:
|
[1] M. Boshernitzan: An extension of Hardy's class of orders of infinity.J. Analyse Math. 39 (1981), 235-255. MR 0632463 |
| Reference:
|
[2] M. Boshernitzan: New orders of finity.J. Analyse Math. 41 (1982), 130-167. MR 0687948 |
| Reference:
|
[3] M. Boshernitzan: Second order differential equations over Hardy fields.J. London Math. Soc. 35 (1987), 2, 109-120. Zbl 0616.26002, MR 0871769 |
| Reference:
|
[4] M. Boshernitzan: Orders of infinity generated by difference equations.Amer. J. Math. 106 (1984), 1067-1089. Zbl 0602.26002, MR 0761579 |
| Reference:
|
[5] M. Boshernitzan: Hardy fields and existence of trans exponential functions.Acquationes Math. 30 (1986), 258-280. MR 0843667 |
| Reference:
|
[6] E. A. Coddington: An Introduction to Ordinary Differential Equations.Prentice Hall of India Private Ltd., New Delhi 1974. MR 0126573 |
| Reference:
|
[7] G. H. Hardy: Orders of Infinity.Cambridge University Press, London 1954. |
| Reference:
|
[8] A. R. Forsyth: A Treatise on Differential Equations.Sixth edition. Mac Millan and Co. Ltd., New York 1954. |
| Reference:
|
[9] V. Maric: Asymptotic behaviour of solutions of a nonlinear differential equation of the first order.J. Math. Anal. Appl. 38 (1972), 187-192. MR 0306640 |
| Reference:
|
[10] M. Rosenlicht: Hardy fields.J. Math. Anal. Appl. 93 (1983), 297-311. Zbl 0518.12014, MR 0700146 |
| Reference:
|
[11] M. Rosenlicht: The rank of a Hardy field.Trans. Amer. Math. Soc. 280 (1983), 659-671. Zbl 0536.12015, MR 0716843 |
| Reference:
|
[12] M. Rosenlicht: Rank change on adjoint real powers to Hardy fields.Trans. Amer. Math. Soc. 284 (1984), 829-836. MR 0743747 |
| Reference:
|
[13] M. Rosenlicht: Growth properties of functions in Hardy fields.Trans. Amer. Math. Soc. 299 (1987), 261-272. Zbl 0619.34057, MR 0869411 |
| Reference:
|
[14] M. Rosenlicht: Asymptotic solutions of $y''=F(x)y$.(Unpublished.) Zbl 0824.34068 |
| . |
