Almost periodicity of mild solutions of inhomogeneous periodic cauchy problems

Almost periodicity of mild solutions of inhomogeneous periodic cauchy problems

We consider a mild solution u of a well-posed, inhomogeneous, Cauchy problem, u(t)=A(t)u(t)+f(t), on a Banach space X, where A(·) is periodic. For a problem on R+, we show that u is asymptotically almost periodic if f is asymptotically almost periodic, u is bounded, uniformly continuous and totally...

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Príomhchruthaitheoirí:	Batty, C, Hutter, W, Rabiger, F
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	Elsevier 1999

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