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arXiv:math/0601013 [math.DS]AbstractReferencesReviewsResources

Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

M. U. Akhmet, M. A. Tleubergenova, A. Zafer

Published 2005-12-31Version 1

In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism between subspaces of almost periodic and asymptotically (biasymptotically) almost periodic solutions is also obtained.

Categories: math.DS
Subjects: 34A30, 34C27, 34C41, 34D10
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