Ergodic approach to the study of boundedness of solutions of one type of the first-order semilinear difference equations

Andrii Chaikovskyi, Oleksandr Liubimov

We investigate the sufficient conditions for boundedness of one type of difference equations of the form $x(n+1)=ax(n)+f(x(n))+y(n),n\ge 1$ in critical case $|a|=1$. For this…