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… Click to show full abstract
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.
               
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