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.
Related projects:	Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace