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Almost-periodic solutions of discrete equations - MaRDI portal

Almost-periodic solutions of discrete equations (Q2817539)

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scientific article; zbMATH DE number 6621175
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Almost-periodic solutions of discrete equations
scientific article; zbMATH DE number 6621175

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    Almost-periodic solutions of discrete equations (English)
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    1 September 2016
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    almost-periodic solutions
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    discrete equations in a metric space
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    bounded solution
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    Let \(M\) be a metric space and \(F: \mathfrak{M}\to\mathfrak{M}\) be a bounded and almost periodic operator. The paper is concerned with the equation \(Fx = h\) with \(h\in \mathfrak{M}\) almost periodic, and sufficient conditions are presented to ensure that the bounded solutions of the equation are almost periodic. Some applications are also given.
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