Stevic, StevoIricanin, BratislavSmarda, Zdenek2022-09-082022-09-082017-11-14Stevic, S., Iricanin, B., & Smarda, Z. (2017). Note on bounded solutions to nonhomogenous linear difference equations. <i>Electronic Journal of Differential Equations, 2017</i>(286), pp. 1-22.1072-6691https://hdl.handle.net/10877/16131By using a solvability method along with the contraction mapping principle quite recently has been presented an interesting method for showing the existence of a unique bounded solution to a nonhomogenous linear second-order difference equation on the set of nonnegative integers. It is a natural question if the combination of the method and principle can be applied in showing the existence of bounded solutions to some higher-order generalizations of the equation. Here, among others, we give a positive answer to the question for the case of a nonhomogenous linear difference equation of third order. Moreover, the equation is studied on the whole integer domain Z.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalNonhomogeneous linear difference equationBounded solutionContraction mapping principleInteger domainArticle