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Cecchi, M.; Došlá, Z.; Marini, M.

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

Comput. Math. Appl. 42, No. 10-11, 1401-1410 (2001).
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.
Reviewer: B.M.Agrawal (Gwalior)

Cited in 20 Documents

MSC:

39A11 Stability of difference equations (MSC2000)

Keywords:

positive decreasing solutions; quasi-linear difference equations
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\textit{M. Cecchi} et al., Comput. Math. Appl. 42, No. 10--11, 1401--1410 (2001; Zbl 1007.39006)
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References:

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