DOI: 10.1002/mana.70218 ISSN: 0025-584X
Roughness of Nonuniform (ρ − , ρ + )‐Exponential Dichotomy
Yeming Chen, Weinian Zhang, Linfeng ZhouABSTRACT
In this paper, we introduce the concept of nonuniform ‐exponential dichotomies to formulate an asymptotic behavior weaker than the known nonuniform ‐exponential dichotomy. We discuss the roughness of such dichotomies on the whole line and the half line separately without global invertibility of the evolution family. Our results extend the known results to nonuniform ‐exponential dichotomies in the case that or .