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Monotonicity and summability of solutions of a second order nonlinear difference equation. (English) Zbl 0845.39003

The authors investigate the asymptotic behaviour of the solutions of the nonlinear difference equation \[ \Delta \bigl( p_{n - 1} f(y_{n - 1}) \Delta y_{n - 1} \bigr) = q_n g(y_n). \] Sufficient conditions for the solutions to be bounded are also investigated.

MSC:

39A11 Stability of difference equations (MSC2000)
39A10 Additive difference equations
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