On Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces

Mihail Megan (1) , Codruta Stoica (2)

1 UVT - Faculte de Mathematiques
2 IMB - Institut de Mathématiques de Bordeaux

This paper presents necessary and sufficient conditions for uniform exponential trichotomy of nonlinear evolution operators in Banach spaces. Thus are obtained results which extend well-known results for uniform exponential stability in the linear case.

Mots clés: Nonlinear evolution operators; exponential stability; exponential dichotomy; exponential trichotomy

Domaines: Analyse classique [math.CA]

Mihail Megan, Codruta Stoica. On Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces. Integral Equations and Operator Theory, 2008, 60 (4), pp.499-506. ⟨10.1007/s00020-008-1555-z⟩. ⟨hal-00283211⟩