摘要：The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n → − ∞ $n\to -\infty$ , as well as when n → + ∞ $n\to+\infty$ , are also given. For the case when the coefficients of the equation are periodic, the long-term behavior of non-periodic solutions is studied.
