Bartusek, Miroslav; Dosla, Zuzana; Marini, Mauro Oscillatory solutions of Emden-Fowler type differential equation. (English) Zbl 07444211 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 54, 17 p. (2021). Summary: 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. MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations Keywords:second order nonlinear differential equation; oscillatory solution; globally positive solution; intermediate solutions PDF BibTeX XML Cite \textit{M. Bartusek} et al., Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 54, 17 p. (2021; Zbl 07444211) Full Text: DOI OpenURL