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Ponnuraj, Dinakar; Srinivasan, Selvarangam; Ethiraju, Thandapani

Oscillation of second order neutral type Emden-Fowler delay difference equations. (English) Zbl 1460.39003

Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 164, 11 p. (2019).
Summary: In this paper, the authors using summation averaging method and an inequality present some new oscillation criteria for the second order neutral type Emden-Fowler delay difference equation \[ \begin{aligned} \varDelta (f_i |\varDelta \chi_i|^{\alpha -1} \varDelta \chi_i) + g_i |\psi_{i-l}|^{\beta -1} \psi_{i-l} = 0, \quad i \ge i_0 >0, \end{aligned} \] where \(\chi_i = \psi_i + h_i \psi_{i-k}\), \(\alpha > 0\) and \(\beta > 0\). The obtained results improve and extend some known results recorded in the literature. Examples illustrating the significance of our results are provided.

Cited in 2 Documents

MSC:

39A21 Oscillation theory for difference equations
39A10 Additive difference equations
39A12 Discrete version of topics in analysis

Keywords:

Emden-Fowler difference equation; oscillation; second-order difference equation
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References:

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