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A remark for ``Oscillation theorems for second-order nonlinear partial difference equations'' - MaRDI portal

A remark for ``Oscillation theorems for second-order nonlinear partial difference equations'' (Q2492990)

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A remark for ``Oscillation theorems for second-order nonlinear partial difference equations''
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    A remark for ``Oscillation theorems for second-order nonlinear partial difference equations'' (English)
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    9 June 2006
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    A counter example to the main result of the paper of \textit{S. T. Liu} and \textit{Y. Q. Liu} [J. Comput. Appl. Math. 132, 479--482 (2001; Zbl 0993.39005)] dealing with a second-order difference equation of the form \[ T(\Delta_1,\Delta_2)[c_mn\Delta_1(y_mn)]+\sum_{i=1}^sa_i(m,n)f_i(y_{m+1,n},\Delta_1(y_mn))=0 \] is presented.
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    oscillation
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    partial difference equation
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    counter example
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    second-order difference equation
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