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Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations

1
Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
2
Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Symmetry 2017, 9(10), 227; https://doi.org/10.3390/sym9100227
Received: 29 September 2017 / Revised: 8 October 2017 / Accepted: 8 October 2017 / Published: 14 October 2017
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PDF [325 KB, uploaded 17 October 2017]

Abstract

By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N 0 , Z N 2 and Z . The case when the coefficients of the equation are constant and the zeros of the characteristic polynomial associated to the corresponding homogeneous equation do not belong to the unit circle is described in detail. View Full-Text
Keywords: linear second-order difference equation; bounded solution; contraction mapping principle; integer domain linear second-order difference equation; bounded solution; contraction mapping principle; integer domain
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Stević, S. Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations. Symmetry 2017, 9, 227.

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