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Almost Automorphic Solutions for Hyperbolic Semilinear Evolution Equations

✍ Scribed by S. Boulite; L. Maniar; G. M. N'Guerekata


Book ID
105927706
Publisher
Springer
Year
2005
Tongue
English
Weight
364 KB
Volume
71
Category
Article
ISSN
0037-1912

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✍ 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