On the Difference Equation xn+1 =xn xn-k /(xn-k+1 a+bxn xn-k )
We show that the difference equation [subscript]xn+1[/subscript] =[subscript]xn[/subscript] [subscript]xn-k[/subscript] /[subscript]xn-k+1[/subscript] (a+b[subscript]xn[/subscript] [subscript]xn-k[/subscript] ),n∈[subscript]...0[/subscript] , where k∈... , the parameters a , b and initial values [su...
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| Veröffentlicht in: | Abstract and applied analysis 2012-01, Vol.2012 |
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| container_title | Abstract and applied analysis |
| container_volume | 2012 |
| creator | Stevic, Stevo Diblík, Josef Iricanin, Bratislav Smarda, Zdenek |
| description | We show that the difference equation [subscript]xn+1[/subscript] =[subscript]xn[/subscript] [subscript]xn-k[/subscript] /[subscript]xn-k+1[/subscript] (a+b[subscript]xn[/subscript] [subscript]xn-k[/subscript] ),n∈[subscript]...0[/subscript] , where k∈... , the parameters a , b and initial values [subscript]x-i[/subscript] , i=0,k... are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior of well-defined solutions of the equation. |
| doi_str_mv | 10.1155/2012/108047 |
| format | Article |
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| identifier | ISSN: 1085-3375 |
| ispartof | Abstract and applied analysis, 2012-01, Vol.2012 |
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| language | eng |
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| source | DOAJ Directory of Open Access Journals; Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Asymptotic properties Behavior Civil engineering Difference equations Exact solutions Mathematical analysis Real numbers Studies |
| title | On the Difference Equation xn+1 =xn xn-k /(xn-k+1 a+bxn xn-k ) |
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