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Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

M. U. Akhmet·M. A. Tleubergenova·A. Zafer
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Abstract

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.

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M. U. Akhmet, M. A. Tleubergenova, A. Zafer. 2005-12-31. Asymptotic equivalence of differential equations and asymptotically almost periodic solutions. https://arxiv.org/abs/math/0601013

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