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Selvarangam, Srinivasan; Thandapani, Ethiraju; Pinelas, Sandra

Oscillation theorems for second order nonlinear neutral difference equations. (English) Zbl 1332.39005

J. Inequal. Appl. 2014, Paper No. 417, 15 p. (2014).
Summary: This paper deals with the oscillation of second order neutral difference equations of the form \[ \Delta(a_n\Delta(x_n+p_nx_{\tau(n)}))^\alpha)+q_nx^\beta_{\sigma(n)}=0.\eqno{(\text{E})} \] The oscillation of all solutions of this equation is established via comparison theorems. Examples are provided to illustrate the main results.

Cited in 9 Documents

MSC:

39A10 Additive difference equations

Keywords:

neutral difference equation; second order; comparison theorems; oscillation
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References:

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