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Oscillation theorems for second order damped nonlinear difference equations. (English) Zbl 0838.39003
Sufficient conditions for oscillation of all solutions of the equation \[ \Delta (a_n \Delta y_n) + p_n \Delta y_n + q_n f(y_{n + 1}) = 0, \quad n = 0,1,2, \dots, \] where \(a_n > 0\), \(p_n \geq 0\), \(q_n > 0\), \(yf(y) > 0\) for \(y \neq 0\), \(f\) is nondecreasing, are presented. Both the methods and conditions are similar to those used in the paper of the author and S. Pandian [Tamkang J. Math. 26, No. 1, 49-58 (1995; reviewed above)].

MSC:
39A12 Discrete version of topics in analysis
39A10 Additive difference equations
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References:
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