Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order
The paper is concerned with second-order nonlinear difference equations over the set of natural numbers. Based on assumptions on nonnegativity of some coefficients or some functions as well as on some growth properties, a number of theorems consisting of sufficient conditions for the non- oscillatory resp. the oscillatory behavior of the solutions of the difference equation are derived. Furthermore, results on the growth of the solutions are proved. The theorems are proved by elementary means.
second-order nonlinear difference equations
scientific article; zbMATH DE number 3946793