Note on bounded solutions to nonhomogenous linear difference equations

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dc.contributor.authorStevic, Stevo
dc.contributor.authorIricanin, Bratislav
dc.contributor.authorSmarda, Zdenek
dc.date.accessioned2022-09-08T17:07:29Z
dc.date.available2022-09-08T17:07:29Z
dc.date.issued2017-11-14
dc.description.abstractBy 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationStevic, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16131
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonhomogeneous linear difference equation
dc.subjectBounded solution
dc.subjectContraction mapping principle
dc.subjectInteger domain
dc.titleNote on bounded solutions to nonhomogenous linear difference equations
dc.typeArticle

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