Bounded oscillation of second order unstable neutral type difference equations (Q1885069)

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scientific article; zbMATH DE number 2111241
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Bounded oscillation of second order unstable neutral type difference equations
scientific article; zbMATH DE number 2111241

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    Bounded oscillation of second order unstable neutral type difference equations (English)
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    28 October 2004
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    The authors consider the second order neutral type difference equation \[ \Delta^2 (y_n-py_{n-k})-q_n f(y_{n-\ell})=0, \quad n=1,2,\dots. \] Sufficient conditions are established for all bounded solutions of this equation to be oscillatory. Examples are also presented to illustrate the results obtained.
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    unstable neutral type difference equations
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    bounded oscillation
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    bounded solutions
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