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

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.
0824780779
Lyapunov stability; autonomous ODEs; families of hill's equations; coexistence
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/443140
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