Oscillatory solutions of Emden-Fowler type differential equation

Abstract

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.

Keywords

• second order nonlinear differential equation
• oscillatory solution
• globally positive solution
• intermediate solutions