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On a higher-order evolution equation with a Stepanov-bounded solution

We study strong solutions u:ℝ→X, a Banach space X, of the nth-order evolution equation u(n)−Au(n−1)=f, an infinitesimal generator of a strongly continuous group A:D(A)⊆X→X, and a given forcing term f:ℝ→X. It is shown that if X is reflexive, u and u(n−1) are Stepanov-bounded, and f is Stepanov almost...

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Príomhchruthaitheoir: Aribindi Satyanarayan Rao
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: Wiley 2004-01-01
Sraith:International Journal of Mathematics and Mathematical Sciences
Rochtain ar líne:http://dx.doi.org/10.1155/S0161171204306277
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