| Title:
|
The order of a zero of a Wronskian and the theory of linear dependence (English) |
| Author:
|
Szucs, J. M. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2007 |
| Pages:
|
[515]-522 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A03 |
| MSC:
|
26A06 |
| idZBL:
|
Zbl 1164.26001 |
| idMR:
|
MR2358395 |
| . |
| Date available:
|
2009-09-25T14:41:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136975 |
| . |
| Reference:
|
[1] BANAS J.-EL-SAYED W. G.: Darboux property of the Wronski determinant.Math. Slovaca 45 (1995), 57-61. Zbl 0827.26004, MR 1335841 |
| Reference:
|
[2] BOCHER M.: Certain cases in which the vanishing of the Wronskian is a sufficient condition for linear dependence.Trans. Amer. Math. Soc. 2 (1901), 139-149. MR 1500560 |
| Reference:
|
[3] BOCHER M.: On Wronskians of functions of a real variable.Bull. Amer. Math. Soc. 8 (1901), 53-63. MR 1557843 |
| Reference:
|
[4] CHAUNDY T. W.: The vanishing of the Wronskian.J. London Math. Soc. 8 (1933), 4-9. Zbl 0006.24502, MR 1574782 |
| Reference:
|
[5] CHRISTOFFEL E. B.: Ueber die lineare Abhangigkeit von Functionen einer einzige Veranderlichen.J. Reine Angew. Math. 55 (1858), 281-299. |
| Reference:
|
[6] CURTISS D. R.: On certain properties of Wronskians and related matrices.Bull. Amer. Math. Soc. 12 (1906), 482-485. MR 1558376 |
| Reference:
|
[7] CURTISS D. R.: The vanishing of the Wronskian and the problem of linear dependence.Math. Ann. 65 (1908), 282-298. MR 1511467 |
| Reference:
|
[8] FROBENIUS G.: Über den Begriff der Irreduchbilität in der Theone der linearen Differentialgleichungen.J. Reine Angew. Math. 76 (1873), 236-270. |
| Reference:
|
[9] HARDY G. H.: A Course of Pure Mathematics.(10th ed.), Cambridge University Press, Cambridge, 1952. [Reissued in: Cambridge Mathematical Lib., 1992, reprinted 1994.] Zbl 0047.28304, MR 0049254 |
| Reference:
|
[10] MOSZNER Z.: Sur le wronskien et la dependance lineaire des fonctions.Bull. Sci. Math. (2) 85 (1961), 161-190. Zbl 0106.27101, MR 0139701 |
| Reference:
|
[11] PEANO G.: Sul deterrmnante Wronskiano.Rend. Reale Accad. Lincei (5) 6 (1897), 413-415. |
| Reference:
|
[12] SZUCS J. M.: When dim = constant implies subspace = const.Acta Sci. Math. (Szeged) 66 (2000), 541-552. MR 1804207 |
| Reference:
|
[13] SZUCS J. M.: The size of the set of zeros of a Wronskian.Math. Slovaca 51 (2001), 69-74. Zbl 0999.26001, MR 1817724 |
| . |
