Oscillation of a class of nonlinear neutral difference equations of higher order.

*(English)*Zbl 1037.39002The authors obtain sufficient conditions for the oscillation of the forced nonlinear neutral difference equation
\[
\Delta y(n)+ p(n) G(y(n- k))= f(n)
\]
using a function \(F(n)\) satisfying \(\Delta^m F(n)= f(n)\). Existence of positive bounded solutions is also established. For the case where \(f(n)\equiv 0\), the behavior of solutions is studied separately.

Reviewer: Quingkai Kong (DeKalb)

##### MSC:

39A11 | Stability of difference equations (MSC2000) |

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\textit{N. Parhi} and \textit{A. K. Tripathy}, J. Math. Anal. Appl. 284, No. 2, 756--774 (2003; Zbl 1037.39002)

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##### References:

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