Solutions of Riemann–Weber type half-linear differential equation
Archivum mathematicum, Tome 53 (2017) no. 1, pp. 49-61
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We establish an asymptotic formula for a pair of linearly independent solutions of the subcritical Riemann–Weber type half-linear differential equation. We also complement the results of the author and M. Ünal, Acta Math. Hungar. 120 (2008), 147–163, where the equation was considered in the critical case.
DOI :
10.5817/AM2017-1-49
Classification :
34C10
Keywords: Riemann–Weber half-linear differential equation; principal solution; modified Riccati equation; asymptotic formula
Keywords: Riemann–Weber half-linear differential equation; principal solution; modified Riccati equation; asymptotic formula
@article{10_5817_AM2017_1_49,
author = {Do\v{s}l\'y, Ond\v{r}ej},
title = {Solutions of {Riemann{\textendash}Weber} type half-linear differential equation},
journal = {Archivum mathematicum},
pages = {49--61},
publisher = {mathdoc},
volume = {53},
number = {1},
year = {2017},
doi = {10.5817/AM2017-1-49},
mrnumber = {3636681},
zbl = {06738498},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2017-1-49/}
}
TY - JOUR AU - Došlý, Ondřej TI - Solutions of Riemann–Weber type half-linear differential equation JO - Archivum mathematicum PY - 2017 SP - 49 EP - 61 VL - 53 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2017-1-49/ DO - 10.5817/AM2017-1-49 LA - en ID - 10_5817_AM2017_1_49 ER -
Došlý, Ondřej. Solutions of Riemann–Weber type half-linear differential equation. Archivum mathematicum, Tome 53 (2017) no. 1, pp. 49-61. doi: 10.5817/AM2017-1-49
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