Geodesic
Oscillation of certain difference equations
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 347-358

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MR Zbl
Some new criteria for the oscillation of difference equations of the form \[ \Delta ^2 x_n - p_n \Delta x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0 \] and \[ \Delta ^i x_n + p_n \Delta ^{i-1} x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0, \ i = 2,3, \] are established.
Some new criteria for the oscillation of difference equations of the form \[ \Delta ^2 x_n - p_n \Delta x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0 \] and \[ \Delta ^i x_n + p_n \Delta ^{i-1} x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0, \ i = 2,3, \] are established.
Classification : 39A10, 39A11 
Grace, S. R. Oscillation of certain difference equations. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 347-358. http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a9/
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