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On a problem related to the generalized Schilling equation - MaRDI portal

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On a problem related to the generalized Schilling equation (Q1271571)

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scientific article; zbMATH DE number 1220991
Language Label Description Also known as
English
On a problem related to the generalized Schilling equation
scientific article; zbMATH DE number 1220991

    Statements

    title
    On a problem related to the generalized Schilling equation (English)
    0 references
    publication date
    19 July 1999
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    review text
    It is proved that the functional equation \[ A\varphi\circ g=B\varphi\circ h+D\varphi \] has a solution \(\varphi:\mathbb{R}\to\mathbb{R}\) depending on an arbitrary function and a construction of all solutions of the equation is given. [The Schilling equation is of the form \[ 4qf(qx)= f(x+1)+ f(x-1)+ 2f(x)]. \]
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    zbMATH Keywords
    iterative functional equation
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    general solution
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    lack of uniqueness
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    Schilling equation
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    Identifiers

    zbMATH DE Number
    1220991
    0 references
    OpenAlex ID
    W1992477946
    0 references
    DOI
    10.1007/S000100050038
    0 references
     
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