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Bounded and periodic solutions to the linear first-order difference equation on the integer domain

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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.

Keywords: difference; first order; order difference; equation; solutions linear; linear first

Journal Title: Advances in Difference Equations
Year Published: 2017

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