Asymptotic properties of solutions of the singular differential equation are described. Here, is Lipschitz continuous on and has at least two zeros 0 and . The function p is continuous on and has a positive continuous derivative on and . Further conditions for f and p under which the equation has oscillatory solutions converging to 0 are given.
Irena Rachůnková. Lukáš Rachůnek. Jan Tomeček. "Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations." Abstr. Appl. Anal. 2011 (SI1) 1 - 20, 2011. https://doi.org/10.1155/2011/408525