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math.DS2021★ 1 cited
Modulo periodic Poisson stable solutions of quasilinear differential equations
Marat Akhmet, Madina Tleubergenova, Akylbek Zhamanshin
We introduce a new type of recurrence in the space of continuous and bounded functions. The property is easily verifiable, and can be considered for differential equations. This ti…
math.DS2005
Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
M. U. Akhmet, M. A. Tleubergenova, A. Zafer
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 e…