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Existence of mild solutions for abstract semilinear evolution equations in Banach spaces

✍ Scribed by Tao Zhu; Chao Song; Gang Li


Book ID
113811443
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
199 KB
Volume
75
Category
Article
ISSN
0362-546X

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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