The behavior of the solutions of periodic linear neutral delay difference equations
The authors deal with the asymptotic behavior, the nonoscillation and the stability of solutions of linear neutral delay difference equations with periodic coefficients and constant delays \[ \Delta(x_n+ \sum_{i\in I} c_ix_{n-\sigma_i})= a(n) x_n+ \sum_{j\in J} b_j x_{n-\tau_j}. \] The results are achieved via a positive root of an associated equation which is, in a sense, the corresponding characteristic equation.
linear neutral delay difference equations
scientific article; zbMATH DE number 2137450
scientific article