Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

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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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Dynamical Systems, 34A30, 34C27, 34C41, 34D10

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http://salesiana.dossiersoluciones.com/handle/123456789/107355

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601013
 http://arxiv.org/abs/math/0601013

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arXiv