We consider \ddot x=-xf(x), \ddot y=-y w(x) with x in a neighbourhood of 0 in the real line. We determine all continuos f,w such that the problem of the stability of the origin is ``free coexistence-like'' in a precise sense defined in the paper.
Some problems in stability of the equilibrium related to coexistence of solutions to Hill's equations
ZAMPIERI, Gaetano
1989-01-01
Abstract
We consider \ddot x=-xf(x), \ddot y=-y w(x) with x in a neighbourhood of 0 in the real line. We determine all continuos f,w such that the problem of the stability of the origin is ``free coexistence-like'' in a precise sense defined in the paper.
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