Almost-periodic solutions of discrete equations (Q2817539)

From MaRDI portal





scientific article; zbMATH DE number 6621175
Language Label Description Also known as
English
Almost-periodic solutions of discrete equations
scientific article; zbMATH DE number 6621175

    Statements

    Almost-periodic solutions of discrete equations (English)
    0 references
    1 September 2016
    0 references
    almost-periodic solutions
    0 references
    discrete equations in a metric space
    0 references
    bounded solution
    0 references
    0 references
    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.
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references