This article is cited in 8 papers

Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space

V. E. Slyusarchuk

Ukranian State Academy of Water Economy

Abstract: Conditions for the existence of almost-periodic solutions of nonlinear almost-periodic difference equations with continuous argument in a Banach space are obtained. These conditions do not involve the ${\mathscr H}$-classes of these equations.

Keywords: nonlinear almost-periodic difference equation, almost-periodic solution, compact set, Banach space.

UDC: 517.929

Received: 23.11.2012

DOI: 10.4213/mzm10174

 English version: Mathematical Notes, 2015, 97:2, 268–274

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