Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
Dynamical Systems
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0601013,
title = {Asymptotic equivalence of differential equations and asymptotically almost periodic solutions},
author = {M. U. Akhmet and M. A. Tleubergenova and A. Zafer},
journal= {arXiv preprint arXiv:math/0601013},
year = {2007}
}