Title:
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The size of the set of zeros of a Wronskian (English) |
Author:
|
Szucs, Joseph M. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
51 |
Issue:
|
1 |
Year:
|
2001 |
Pages:
|
69-74 |
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Category:
|
math |
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MSC:
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26A06 |
idZBL:
|
Zbl 0999.26001 |
idMR:
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MR1817724 |
. |
Date available:
|
2009-09-25T11:49:16Z |
Last updated:
|
2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/136795 |
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Reference:
|
[1] BANAS Ј.-EL-SAYED W. G.: Darboux property of the Wronski determinant.Math. Slovaca 45 (1995), 57-61. Zbl 0827.26004, MR 1335841 |
Reference:
|
[2] BENTLEY D. L.-COOKE K. L.: Linear Algebra with Differential Equations.Holt, Reinhart and Winston. Inc, New York, 1973. Zbl 0337.34001, MR 0354706 |
Reference:
|
[3] 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:
|
[4] CHAUNDY T. W.: The vanishing of the Wronskian.J. London Math. Soc. 8 (1933), 4-9. Zbl 0006.24502, MR 1574782 |
Reference:
|
[5] CURTISS D. R.: On certain properties of Wronskians and related matrices.Bull. Amer. Math. Soc. 12 (1906), 482-485. MR 1558376 |
Reference:
|
[6] CURTISS D. R.: The vanishing of the Wronskian and the problem of linear dependence.Math. Ann. 65 (1908), 282-298. MR 1511467 |
Reference:
|
[7] CHRISTOFFEL E. B.: Über die lineare Abhängigkeit von Functionen einer einzigen Veränderlichen.J. Reine Angew. Math. 55 (1858), 281-299. |
Reference:
|
[8] DENJOY A.: Sur une propriéte des fonctions dérivées.Enseign. Math. 18 (1916). 320-328. |
Reference:
|
[9] MEISTERS G. H.: Local linear dependence and the vanishing of the Wronskian.Amer. Math. Monthly 68 (1961), 847-856. Zbl 0102.04703, MR 0130934 |
Reference:
|
[10] PASCH M.: Note über die Determinanten, welche aus Functionen und deren Differentialen gebildet werden.J. Reine Angew. Math. 80 (1875), 177-182. |
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