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Sun, Y. G.; Saker, S. H.

Oscillation for second-order nonlinear neutral delay difference equations. (English) Zbl 1078.39014

Appl. Math. Comput. 163, No. 2, 909-918 (2005).
The authors consider the second-order nonlinear neutral delay difference equation \[ \Delta(a_n(\Delta(x_n + p_n x_{n-\tau}))^{\gamma}) + f(n,x_{n-\sigma}) = 0,\quad n =0,1,2,\dots \] in the case when \(0<\gamma <1.\) Using the Riccati techniques, oscillation criteria for the equation are established.
Reviewer: Marat Akhmet (Ankara)

Cited in 13 Documents

MSC:

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

Keywords:

oscillations; Riccati techniques; second-order nonlinear neutral delay difference equation
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References:

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