Oscillatory solutions of Emden-Fowler type differential equation

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...

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Bibliographic Details
Main Authors: Bartušek Miroslav
Došlá Zuzana
Marini Mauro
Format: Serial
Published: 2021
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - nemlineáris, Másodrendű differenciálegyenlet, Oszcilláció - differenciálegyenlet
doi:10.14232/ejqtde.2021.1.54

Online Access:http://acta.bibl.u-szeged.hu/73706
Description
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.
Physical Description:17
ISSN:1417-3875