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A well-posedness result for a class of linear difference equations - MaRDI portal

A well-posedness result for a class of linear difference equations (Q1585534)

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scientific article; zbMATH DE number 1531188
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A well-posedness result for a class of linear difference equations
scientific article; zbMATH DE number 1531188

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    A well-posedness result for a class of linear difference equations (English)
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    16 November 2000
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    The authors prove the existence and uniqueness of solutions for a class of linear difference equations in the space of real sequences \((v)_{r \in\mathbb{N}_0}\) satisfying \(\sup_{r\in \mathbb{N}_0}r! |v_r|<\infty\). Such result is obtained as an application of recent results on the well-posedness of the Cauchy problem for ordinary differential equations.
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    linear difference equations
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    well-posedness
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    Cauchy problem
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