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Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations

✍ Scribed by M. Baroun; L. Maniar; G.M. N’Guérékata


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
286 KB
Volume
69
Category
Article
ISSN
0362-546X

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✍ 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