English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Assuming the existence of a general nonuniform dichotomy for the evolutionoperator of a non-autonomous ordinary linear differential equation in a Banachspace, we establish the existence of invariant stable manifolds for thesemiflow generated by sufficiently small nonlinear perturbations of the linearequation. The family of dichotomies considered satisfies a general growth rategiven by some increasing differentiable function, allows situations for whichthe classical Lyapunov exponents are zero, and contains the nonuniformexponential dichotomies as a very particular case. In addition we also giveexplicit examples of linear equations that admit all the possible considereddichotomies.

Nonautonomous equations, generalized dichotomies and stable manifolds