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Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations

✍ Scribed by Hui-Sheng Ding; Jin Liang; Gaston M. N’Guérékata; Ti-Jun Xiao


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
178 KB
Volume
45
Category
Article
ISSN
0895-7177

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Almost automorphic solutions to nonauton
✍ Hui-Sheng Ding; Jin Liang; Ti-Jun Xiao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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