On the difference equation .
We show that, generally, families of measurable functions do not have the difference property under some assumption. We also show that there are natural classes of functions which do not have the difference property in ZFC. This extends the result of Erdős concerning the family of Lebesgue measurable functions.
The neutral delay difference equations of second order with positive and negative coefficients , n = 0,1,2,... studied sufficient condition existence positive solution equation obtained
We consider a second order nonlinear difference equation The necessary conditions under which there exists a solution of equation (E) which can be written in the form Here and are two linearly independent solutions of equation A special case of equation (E) is also considered.