We establish the uniqueness of the positive, radially symmetric solution to the differential equation Δu−u+up=0 (with p>1) in a bounded or unbounded annular region in Rn for all n≧1, with the Neumann… Expand

E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for… Expand

Abstract A simple result concerning integral inequalities enables us to give an alternative proof of Waltman's theorem: lim t → ∞ ∝ t 0 a ( s ) ds = ∞ implies oscillation of the second order… Expand

On etudie les zeros des fonctions propres de problemes aux valeurs limites reguliers de Sturm-Liouville a fonctions poids generales w. On considere en particulier le cas ou l'ensemble des zeros de w… Expand

The method of shooting is used to establish existence of positive radially symmetric solutions to nonlinear elliptic equations of the form Δu+f(r, u)=0 on annular regionsa<r=|x|<b inRN, satisfying… Expand

We prove new results on the oscillation and nonoscillation of the Hill's equation with periodic damping:
y″+p(t)y′+q(t)y=0,t⩾0,
where p(t) and q(t) are continuous and periodic. The results show… Expand

The problem of oscillation of super- and sublinear Emden-Fowler equations is studied. Established are a number of oscillation theorems involving comparison with related linear equations. Recent… Expand