Stevo Stevic, Bratislav Iricanin, Zdenek Smarda
Abstract:
By 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.
Submitted July 25, 2017. Published November 14, 2017.
Math Subject Classifications: 39A06, 47H09, 39A45.
Key Words: Nonhomogeneous linear difference equation; bounded solution;
contraction mapping principle; integer domain.
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Stevo Stevic Mathematical Institute of the Serbian Academy of Sciences Knez Mihailova 36/III, 11000 Beograd, Serbia email: sstevic@ptt.rs |
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Bratislav Iricanin Faculty of Electrical Engineering Belgrade University Bulevar Kralja Aleksandra 73 11000 Beograd, Serbia email: iricanin@etf.rs |
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Zdenek Smarda Brno University of Technology Faculty of Electrical Engineering and Communication Department of Mathematics Technicka 3058/10, CZ 616 00 Brno, Czech Republic email: smarda@feec.vutbr.cz |
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