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

Voir la notice de l'article dans Czech Digital Mathematics Library

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 $p$, $q \in C^1(0,x_0]$, $p(x)>0$, $q(x)>0$ for $x \in (0,x_0]$. 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 
@article{10_5817_AM2017_4_193,
     author = {Kanemitsu, Takanao and Tanaka, Satoshi},
     title = {Nonrectifiable oscillatory solutions of second order linear differential equations},
     journal = {Archivum mathematicum},
     pages = {193--201},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2017},
     doi = {10.5817/AM2017-4-193},
     mrnumber = {3733066},
     zbl = {06819525},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-4-193/}
}
TY  - JOUR
AU  - Kanemitsu, Takanao
AU  - Tanaka, Satoshi
TI  - Nonrectifiable oscillatory solutions of second order linear differential equations
JO  - Archivum mathematicum
PY  - 2017
SP  - 193
EP  - 201
VL  - 53
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-4-193/
DO  - 10.5817/AM2017-4-193
LA  - en
ID  - 10_5817_AM2017_4_193
ER  - 
%0 Journal Article
%A Kanemitsu, Takanao
%A Tanaka, Satoshi
%T Nonrectifiable oscillatory solutions of second order linear differential equations
%J Archivum mathematicum
%D 2017
%P 193-201
%V 53
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-4-193/
%R 10.5817/AM2017-4-193
%G en
%F 10_5817_AM2017_4_193
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/

Cité par Sources :