Solutions of Riemann–Weber type half-linear differential equation
Archivum mathematicum, Tome 53 (2017) no. 1, pp. 49-61.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : Riemann–Weber half-linear differential equation; principal solution; modified Riccati equation; asymptotic formula
Mots-clés : 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 = {https://geodesic-test.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 - https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-1-49/
Cité par Sources :