Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

2005/12/31 by Marat Akhmet, M. U. Akhmet, Madina Tleubergenova +5
Computer Science · Mathematics · #34A30 #34C27 #34C41 #34D10 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #math.DS #msc:34A30 #msc:34C27 #msc:34C41 #msc:34D10

paper · pdf · doi:10.48550/arxiv.math/0601013

arxiv created 2005/12/31 · openalex publication_date 2005/12/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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