Geodesic
Oscillation of strongly noncanonical equations :
Baculikova, Blanka 1
1 Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 10, p. 1124-1128 Cet article a éte moissonné depuis la source International Scientific Research Publications

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New oscillation criteria for third order noncanonical differential equations of the form

$ \left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'+p(t)y(\tau(t))=0 $

are established. Our technique employs an equivalent canonical representation of the studied equation, which essentially simplifies the examination of noncanonical equations. The results obtained are supported by several illustrative examples.

DOI : 10.22436/jnsa.011.10.02
Classification : 34C10, 34K11
Keywords: Oscillation, third order differential equations, noncanonical operator

Baculikova, Blanka   1

1 Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia 
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Baculikova, Blanka . Oscillation of strongly noncanonical equations. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 10, p. 1124-1128. doi: 10.22436/jnsa.011.10.02

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