Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710094 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
Poincaré’s classical theorem about the convergence of ratios of successive values of solutions applies if the characteristic roots of the associated limiting equation are simple and have different moduli. In this work, it is shown that for the nonoscillatory solutions the conclusion of Poincaré’s theorem is also true in the case where the limiting equation has a double positive characteristic root.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Rigoberto Medina, Mihály Pituk,