Oscillatory and stability of a mixed type difference equation with variable coefficients (Q2113767)

Summary: The goal of this paper is to study the oscillatory and stability of the mixed type difference equation with variable coefficients \[ \Delta x(n) = \sum\limits_{i = 1}^{\ell} p_i(n) x(\tau_i(n)) + \sum\limits_{j = 1}^m q_j(n) x(\sigma_i(n)),\quad n \geq n_0, \] where \(\tau_i(n)\) is the delay term and \(\sigma_j(n)\) is the advance term and they are positive real sequences for \(i = 1,\dots, l\) and \(j = 1, \dots, m\), respectively, and \(p_i(n)\) and \(q_j(n)\) are real functions. This paper generalises some known results and the examples illustrate the results.