Qualitative behavior of a rational difference equation <inline-formula><graphic file="1687-1847-2011-6-i1.gif"/></inline-formula>
<p>Abstract</p> <p>This article is concerned with the following rational difference equation <it>y</it><sub><it>n</it>+1 </sub>= (<it>y</it><sub><it>n </it></sub>+ <it>y</it><sub><it>n&l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/1/6 |
| Summary: | <p>Abstract</p> <p>This article is concerned with the following rational difference equation <it>y</it><sub><it>n</it>+1 </sub>= (<it>y</it><sub><it>n </it></sub>+ <it>y</it><sub><it>n</it>-1</sub>)/(<it>p </it>+ <it>y</it><sub><it>n</it></sub><it>y</it><sub><it>n</it>-1</sub>) with the initial conditions; <it>y</it><sub>-1</sub>, <it>y</it><sub>0 </sub>are arbitrary positive real numbers, and <it>p </it>is positive constant. Locally asymptotical stability and global attractivity of the equilibrium point of the equation are investigated, and non-negative solution with prime period two cannot be found. Moreover, simulation is shown to support the results.</p> |
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| ISSN: | 1687-1839 1687-1847 |