Oscillatory solutions of Emden-Fowler type differential equation

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Authors

BARTUŠEK Miroslav DOŠLÁ Zuzana MARINI Mauro

Year of publication 2021
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.14232/ejqtde.2021.1.54
Doi http://dx.doi.org/10.14232/ejqtde.2021.1.54
Keywords second order nonlinear differential equation; oscillatory solution; globally positive solution; intermediate solutions
Description The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden-Fowler differential equation. In particular, the coexistence of infinitely many oscillatory solutions with unbounded positive solutions are proved. The asymptotics of the unbounded positive solutions are described as well.
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