Stellar models and irregular singularities
Résumé
This paper proves two results on the determination
of asymptotics of solutions of linear and nonlinear ODE. The first
shows the stability of singular solutions of the point-source
model of stellar structure. It hinges on the solution of a
singular initial-value problem where data are prescribed at the
singularity. As a further illustration of the use of such singular
problems, a simple method to determine the eigenfunction
asymptotics for problems with long-range potentials is included.