Malmquist-type results for difference equations with periodic coefficients (Q893878)
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scientific article; zbMATH DE number 6512648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Malmquist-type results for difference equations with periodic coefficients |
scientific article; zbMATH DE number 6512648 |
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Malmquist-type results for difference equations with periodic coefficients (English)
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20 November 2015
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A special type of difference equation with periodic coefficients is studied. The question of \textit{G. G. Gundersen} and \textit{I. Laine} [J. Math. Anal. Appl. 111, 281--300 (1985; Zbl 0593.34014)] is discussed. It is proved the solution must be a periodic function or algebraic one. The special case of a quadratic right side part of the equation is considered.
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entire function
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periodic function
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non-linear difference equation
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