Stevo Stevic, Josef Diblik, Bratislav Iricanin, Zdenek Smarda
Abstract:
In this article we show the existence of solutions to the nonlinear
difference equation
where the sequences
and
,
and initial the values
,
,
are real numbers.
Also we find the set of initial values for which solutions are undefinable
when
and
for every
.
When these two sequences are constant, we describe the long-term behavior
of the solutions in detail.
Submitted September 21, 2014. Published December 22, 2014.
Math Subject Classifications: 39A10, 39A20.
Key Words: Solution to difference equation; long-term behavior of solutions;
undefinable solutions.
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Stevo Stevic Mathematical Institute of the Serbian Academy of Sciences Knez Mihailova 36/III, 11000 Beograd, Serbia. Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: sstevic@ptt.rs | |
Josef Diblik Department of Mathematics and Descriptive Geometry Faculty of Civil Engineering, 60200, Brno University of Technology Brno, Czech Republic email: diblik.j@fce.vutbr.cz, diblik@feec.vutbr.cz | |
Bratislav Iricanin Faculty of Electrical Engineering Belgrade University, Bulevar Kralja Aleksandra 73 11000 Beograd, Serbia email: iricanin@etf.rs | |
Zdenek Smarda Department of Mathematics, Faculty of Electrical Engineering and Communication 61600, Brno University of Technology Brno, Czech Republic email: smarda@feec.vutbr.cz |
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