The size of the set of zeros of a Wronskian
Mathematica slovaca, Tome 51 (2001) no. 1, pp. 69-74
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Classification : 26A06
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Szucs, Joseph M. The size of the set of zeros of a Wronskian. Mathematica slovaca, Tome 51 (2001) no. 1, pp. 69-74. http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a6/

[1] BANAS Ј.-EL-SAYED W. G.: Darboux property of the Wronski determinant. Math. Slovaca 45 (1995), 57-61. | MR | Zbl

[2] BENTLEY D. L.-COOKE K. L.: Linear Algebra with Differential Equations. Holt, Reinhart and Winston. Inc, New York, 1973. | MR | Zbl

[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

[4] CHAUNDY T. W.: The vanishing of the Wronskian. J. London Math. Soc. 8 (1933), 4-9. | MR | Zbl

[5] CURTISS D. R.: On certain properties of Wronskians and related matrices. Bull. Amer. Math. Soc. 12 (1906), 482-485. | MR

[6] CURTISS D. R.: The vanishing of the Wronskian and the problem of linear dependence. Math. Ann. 65 (1908), 282-298. | MR

[7] CHRISTOFFEL E. B.: Über die lineare Abhängigkeit von Functionen einer einzigen Veränderlichen. J. Reine Angew. Math. 55 (1858), 281-299.

[8] DENJOY A.: Sur une propriéte des fonctions dérivées. Enseign. Math. 18 (1916). 320-328.

[9] MEISTERS G. H.: Local linear dependence and the vanishing of the Wronskian. Amer. Math. Monthly 68 (1961), 847-856. | MR | Zbl

[10] PASCH M.: Note über die Determinanten, welche aus Functionen und deren Differentialen gebildet werden. J. Reine Angew. Math. 80 (1875), 177-182.