Solutions of Riemann-Weber type half-linear differential equation

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Authors	DOŠLÝ Ondřej
Year of publication	2017
Type	Article in Periodical
Magazine / Source	Archivum Mathematicum
MU Faculty or unit	Faculty of Science
Citation
Web	https://dml.cz/handle/10338.dmlcz/146075
Doi	http://dx.doi.org/10.5817/AM2017-1-49
Keywords	Riemann-Weber half-linear differential equation; principal solution; modified Riccati equation; asymptotic formula
Description	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.
Related projects:	Hamiltonovské a symplektické systémy: oscilační a spektrální teorie