Global stability and injectivities in a nonautonomous framework, Álvaro Castañeda (Universidad de Chile, Chile)
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Monday, 02. May 2022, 15:00
  • Abstract: In this talk, we present a problem of nonautonomous global stability for $x' = f(t,x)$  in terms of the spectrum associated with nonuniform exponential dichotomy. Also, we introduce, for a family of maps parametrized $F_t=f(t,x)$, the concepts of partial injectivity and $sigma$-uniformly injectivity.  Finally, we show that partial injectivity follows if the above global stability problem is satisfied.