Geodesic
On the properties of the Vronsky determinant
Matematičeskoe obrazovanie, Tome 95 (2020) no. 3, pp. 33-37.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the question of sufficient conditions for the linear dependence of a system of functions in terms of the Vronsky determinant of this system.
Keywords: linear dependence of a system of functions, Wronsky determinant. 
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A. V. Neklyudov. On the properties of the Vronsky determinant. Matematičeskoe obrazovanie, Tome 95 (2020) no. 3, pp. 33-37. http://geodesic.mathdoc.fr/item/MO_2020_95_3_a5/

[1] Arnold V.I., Obyknovennye differentsialnye uravneniya, Izhevsk, 2000

[2] Pontryagin L.S., Obyknovennye differentsialnye uravneniya, Nauka, M., 1982

[3] Filippov A.F., Vvedenie v teoriyu differentsialnykh uravnenii, URSS, M., 2004

[4] Ains E.L., Obyknovennye differentsialnye uravneniya, ONTI, Kharkov, 1939

[5] Tikhonov A.N., Vasileva A.B., Sveshnikov A.G., Differentsialnye uravneniya, BINOM. Laboratoriya znanii, M., 2005 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=201263'>201263</ext-link>

[6] Smirnov V.I., Kurs vysshei matematiki, v. 2, Nauka, M., 1974 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=361650'>361650</ext-link>

[7] Agafonov S.A., German A.D., Muratova T.V., Differentsialnye uravneniya, izdatelstvo MGTU im. N.E. Baumana, M., 2004 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2120865'>2120865</ext-link>

[8] Fedoryuk M.V., Obyknovennye differentsialnye uravneniya, URSS, M., 2013

[9] Petrovskii I.G., Lektsii po teorii obyknovennykh differentsialnykh uravnenii, LIBROKOM, M., 2009 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=775134'>775134</ext-link>