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Exponential Dichotomy and Mild Solutions of Nonautonomous Equations in Banach Spaces

✍ Scribed by Y. Latushkin; T. Randolph; R. Schnaubelt


Book ID
110422793
Publisher
Springer US
Year
1998
Tongue
English
Weight
917 KB
Volume
10
Category
Article
ISSN
1040-7294

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Almost automorphic solutions to nonauton
✍ Hui-Sheng Ding; Jin Liang; Ti-Jun Xiao πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 370 KB

This paper is concerned with almost automorphy of the solutions to a nonautonomous semilinear evolution equation u (t) = A(t)u(t) + f (t, u(t)) in a Banach space with a Stepanov-like almost automorphic nonlinear term. We establish a composition theorem for Stepanov-like almost automorphic functions