Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation
Let k be a nonnegative integer and c a real number greater than or equal to 1. We present qualitative global behavior of solutions to a rational nonlinear higher-order difference equation zn+1=(czn+zn-k+c-1znzn-k)/(znzn-k+c), n≥0, with positive initial values z-k,z-k+1,⋯,z0, and show the global asy...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/2048941 |
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| _version_ | 1832559946942644224 |
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| author | Wen-Xiu Ma |
| author_facet | Wen-Xiu Ma |
| author_sort | Wen-Xiu Ma |
| collection | DOAJ |
| description | Let k be a nonnegative integer and c a real number greater than or equal to 1. We present qualitative global behavior of solutions to a rational nonlinear higher-order difference equation zn+1=(czn+zn-k+c-1znzn-k)/(znzn-k+c), n≥0, with positive initial values z-k,z-k+1,⋯,z0, and show the global asymptotic stability of its positive equilibrium solution. |
| format | Article |
| id | doaj-art-01f914249dfb4dea9d460918ef1fcdc0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-01f914249dfb4dea9d460918ef1fcdc02025-02-03T01:28:39ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/20489412048941Global Behavior of a New Rational Nonlinear Higher-Order Difference EquationWen-Xiu Ma0Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, ChinaLet k be a nonnegative integer and c a real number greater than or equal to 1. We present qualitative global behavior of solutions to a rational nonlinear higher-order difference equation zn+1=(czn+zn-k+c-1znzn-k)/(znzn-k+c), n≥0, with positive initial values z-k,z-k+1,⋯,z0, and show the global asymptotic stability of its positive equilibrium solution.http://dx.doi.org/10.1155/2019/2048941 |
| spellingShingle | Wen-Xiu Ma Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation Complexity |
| title | Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation |
| title_full | Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation |
| title_fullStr | Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation |
| title_full_unstemmed | Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation |
| title_short | Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation |
| title_sort | global behavior of a new rational nonlinear higher order difference equation |
| url | http://dx.doi.org/10.1155/2019/2048941 |
| work_keys_str_mv | AT wenxiuma globalbehaviorofanewrationalnonlinearhigherorderdifferenceequation |