Geodesic
Nonrectifiable oscillatory solutions of second order linear differential equations
Archivum mathematicum, Tome 53 (2017) no. 4, pp. 193-201.

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The second order linear differential equation \begin{equation*} (p(x)y^{\prime })^{\prime }+q(x)y=0\,, \quad x \in (0,x_0] \end{equation*} is considered, where p, q∈C1(0,x0], p(x)>0, q(x)>0 for x∈(0,x0]. Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near x=0 without the Hartman–Wintner condition.
DOI : 10.5817/AM2017-4-193
Classification : 34C10
Mots-clés : oscillatory; nonrectifiable; second order linear differential equation 
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Kanemitsu, Takanao; Tanaka, Satoshi. Nonrectifiable oscillatory solutions of second order linear differential equations. Archivum mathematicum, Tome 53 (2017) no. 4, pp. 193-201. doi : 10.5817/AM2017-4-193. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-4-193/

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