On the existence of positive solutions of second order neutral difference equations
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 5-11
MSC: Primary 39A10.
DOI: 10.4064/am31-1-2
Abstract
The neutral delay difference equations of second order with positive and negative coefficients $$ { \Delta } ^2 ( {x_n + p_n x_{n - \tau } } ) + q_n x_{n - \sigma } - r_n x_{n - \lambda } = 0 ,\hskip 1em \ n = 0,1,2,\mathinner {\ldotp \ldotp \ldotp }, $$ is studied, and a sufficient condition for the existence of a positive solution of this equation is obtained.
