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Regularly varying solutions of second-order difference equations with arbitrary sign coefficient - MaRDI portal

Regularly varying solutions of second-order difference equations with arbitrary sign coefficient (Q610926)

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scientific article; zbMATH DE number 5825834
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Regularly varying solutions of second-order difference equations with arbitrary sign coefficient
scientific article; zbMATH DE number 5825834

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    Regularly varying solutions of second-order difference equations with arbitrary sign coefficient (English)
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    13 December 2010
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    From the authors' abstract: Necessary and sufficient conditions for regular or slow variation of all positive solutions of a second-order linear difference equation with arbitrary sign coefficient are established. Relations with the so-called \(\mathbf M\)-classification are also analyzed and a generalization of the results to the half-linear case completes the paper.
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    regularly varying solution
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    positive solution
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    second order linear difference equations
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