Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
M. U. Akhmet, M. A. Tleubergenova, A. Zafer
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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