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Title: The size of the set of zeros of a Wronskian (English)
Author: Szucs, Joseph M.
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 51
Issue: 1
Year: 2001
Pages: 69-74
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Category: math
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MSC: 26A06
idZBL: Zbl 0999.26001
idMR: MR1817724
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Date available: 2009-09-25T11:49:16Z
Last updated: 2012-08-01
Stable URL: 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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