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
โฆ LIBER โฆ
Solutions of semilinear evolution inclusions in banach spaces under weak* topology
โ Scribed by Song Fumin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 364 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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Let \(X\) be a Banach space, and \(S(X)\) be the unit sphere of \(X\). Two geometric concepts are introduced: the modulus \(W(\varepsilon)=\inf \left\{\sup \left\{, f\_{x} \in \nabla\_{x}\right\}, x, y \in S(X)\right.\) with \(\|x-y\| \geq \varepsilon\} ;\) and the modulus \(W\_{1}(\varepsilon)=\sup