Oscillatory and asymptotic behavior of higher order difference equations
The author obtains sufficient conditions for the oscillation of all bounded solutions of the neutral difference equation \[ \Delta(a(t) \Delta^{n- 1} (x(t)+ p(t) x(\eta(t))))+ F(t, x(\sigma(t)))= 0,\quad t\in I \] and the asymptotic behavior of solutions of the delay difference equation \[ \Delta^ n x(t)+ F(t, x(g(t)))= h(t),\quad t\in I. \] For related works see \textit{R. P. Agarwal} [An. Sţiint. Univ. Al. I. Cuza Iaşi, N. Ser., Sect. Ia 29, No. 3, Suppl., 85-96 (1983; Zbl 0599.39002)].
scientific article; zbMATH DE number 751284
scientific article