Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

Details Asymptotic equivalence of differential equations and asymptotically almost periodic solutions Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

2005-12-31

arxiv.org/abs/math/0601013v1

Mathematics

Dynamical Systems

Scientific paper

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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