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Oscillatory behavior of fourth order nonlinear difference equations. (English) Zbl 1185.39009

Summary: Some new criteria for the bounded oscillation of nonlinear fourth order difference equation
\[ \Delta\left(\frac{1}{a_3(n)}\left(\Delta\left(\frac{1}{a_2(n)}\left(\Delta\left(\frac{1}{a_1(n)}\;(\Delta x(n))^{\alpha_1}\right)\right)^{\alpha_2}\right)^{\alpha_3}\right)\right)+q(n)f(x[g(n)])=0 \]
are established.

MSC:

39A21 Oscillation theory for difference equations
39A20 Multiplicative and other generalized difference equations
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