Global Behavior of a Higher Order Fuzzy Difference Equation
Our aim in this paper is to investigate the convergence behavior of the positive solutions of a higher order fuzzy difference equation and show that all positive solutions of this equation converge to its unique positive equilibrium under appropriate assumptions. Furthermore, we give two examples to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-10-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/7/10/938 |
| _version_ | 1818012595119980544 |
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| author | Guangwang Su Taixiang Sun Bin Qin |
| author_facet | Guangwang Su Taixiang Sun Bin Qin |
| author_sort | Guangwang Su |
| collection | DOAJ |
| description | Our aim in this paper is to investigate the convergence behavior of the positive solutions of a higher order fuzzy difference equation and show that all positive solutions of this equation converge to its unique positive equilibrium under appropriate assumptions. Furthermore, we give two examples to account for the applicability of the main result of this paper. |
| first_indexed | 2024-04-14T06:22:20Z |
| format | Article |
| id | doaj.art-67f037ec4e3d48fe8a218a3c01568ce8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-14T06:22:20Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-67f037ec4e3d48fe8a218a3c01568ce82022-12-22T02:07:59ZengMDPI AGMathematics2227-73902019-10-0171093810.3390/math7100938math7100938Global Behavior of a Higher Order Fuzzy Difference EquationGuangwang Su0Taixiang Sun1Bin Qin2College of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaCollege of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaGuangxi Key Laboratory Cultivation Base of Cross-Border E-Commerce Intelligent Information Processing, Nanning 530003, ChinaOur aim in this paper is to investigate the convergence behavior of the positive solutions of a higher order fuzzy difference equation and show that all positive solutions of this equation converge to its unique positive equilibrium under appropriate assumptions. Furthermore, we give two examples to account for the applicability of the main result of this paper.https://www.mdpi.com/2227-7390/7/10/938fuzzy difference equationfuzzy numberpositive solutionpositive equilibrium |
| spellingShingle | Guangwang Su Taixiang Sun Bin Qin Global Behavior of a Higher Order Fuzzy Difference Equation Mathematics fuzzy difference equation fuzzy number positive solution positive equilibrium |
| title | Global Behavior of a Higher Order Fuzzy Difference Equation |
| title_full | Global Behavior of a Higher Order Fuzzy Difference Equation |
| title_fullStr | Global Behavior of a Higher Order Fuzzy Difference Equation |
| title_full_unstemmed | Global Behavior of a Higher Order Fuzzy Difference Equation |
| title_short | Global Behavior of a Higher Order Fuzzy Difference Equation |
| title_sort | global behavior of a higher order fuzzy difference equation |
| topic | fuzzy difference equation fuzzy number positive solution positive equilibrium |
| url | https://www.mdpi.com/2227-7390/7/10/938 |
| work_keys_str_mv | AT guangwangsu globalbehaviorofahigherorderfuzzydifferenceequation AT taixiangsun globalbehaviorofahigherorderfuzzydifferenceequation AT binqin globalbehaviorofahigherorderfuzzydifferenceequation |