Remarks on oscillation of second-order linear difference equation
The research on difference equations in the real domain is developed and many interesting results were obtained. In this paper the author considers the second order linear difference equation \[ \Delta^2 x_{n-1}+p_n x_n =0,\quad n=1,2,\dots, \] where \(\Delta\) is the forward difference operator \(\Delta x_n =x_{n+1}-x_n\), and \(\{p_n\}\) is a sequence of nonnegative real numbers. He considers existence conditions for oscillating solutions of the above difference equation, which are based on incorrect conditions, an incorrect proof and an incorrect result.
scientific article; zbMATH DE number 5655274