26 research outputs found

    On the Difference equation <it>x</it><sub><it>n</it>+</sub> = <it>ax</it><sub><it>n</it></sub> - <it>bx</it><sub><it>n</it></sub>/(<it>cx</it><sub><it>x</it></sub> - <it>dx</it><sub><it>n</it>-1</sub>)

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    <p/> <p>We investigate some qualitative behavior of the solutions of the difference equation <it>x</it><sub><it>n</it>+</sub> = <it>ax</it><sub><it>n</it></sub> - <it>bx</it><sub><it>n</it></sub>/(<it>cx</it><sub><it>x</it></sub> - <it>dx</it><sub><it>n</it>-1</sub>), <it>n</it> = 0,1,..., where the initial conditions <it>x</it><sub>-1</sub>, <it>x</it><sub>0</sub> are arbitrary real numbers and <it>a</it>, <it>b</it>, <it>c</it>, <it>d</it> are positive constants.</p
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