Positive decreasing solutions of quasi-linear difference equations. (English) Zbl 1007.39006

The qualitative behavior of solutions of \[ \Delta(a_n\phi_p(\Delta x_n))= b_n f(x_{n+1}) \] is investigated by giving necessary and sufficient conditions. A comparison with the continuous case jointly with similarities and discrepancies is also given.


39A11 Stability of difference equations (MSC2000)
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