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Article Dans Une Revue Electronic Journal of Differential Equations Année : 2010

Dependence results on almost periodic and almost automorphic solutions of evolution equations

Résumé

We consider the semilinear evolution equations x'(t) = A(t)x(t) + f(x(t),u(t),t) and x'(t) = A(t)x(t) + f(x(t),c,t) where A(t) is a unbounded linear operator on a Banach space X and f is a nonlinear operator. We study the dependence of solutions x with respect to the function u in three cases: the continuous almost periodic functions, the differentiable almost periodic functions, and the almost automorphic functions. We give results on the continuous dependence and on the differentiable dependence.
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Dates et versions

hal-00662522 , version 1 (24-01-2012)

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  • HAL Id : hal-00662522 , version 1

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Joël Blot, Philippe Cieutat, Gaston M. N'Guérékata. Dependence results on almost periodic and almost automorphic solutions of evolution equations. Electronic Journal of Differential Equations, 2010, 101, pp.1-13. ⟨hal-00662522⟩
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