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Summation averages and the oscillation of second-order nonlinear difference equations - MaRDI portal

Summation averages and the oscillation of second-order nonlinear difference equations (Q1362229)

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scientific article; zbMATH DE number 1042740
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Summation averages and the oscillation of second-order nonlinear difference equations
scientific article; zbMATH DE number 1042740

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    Summation averages and the oscillation of second-order nonlinear difference equations (English)
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    22 June 1998
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    Using the summation averaging method, the authors establish some new oscillation criteria for the second-order difference equation \[ \Delta^2y+ A(k,y)= B(k,y,\Delta y),\quad k\geq k_0. \] Some of the results obtained here are discrete analogues of the results given by \textit{M. Naito} [Hiroshima Math. J. 24, No. 3, 657-670 (1994; Zbl 0827.34035)].
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    second-order nonlinear difference equations
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    summation averaging method
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    oscillation
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