Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation
We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation xn+1=maxAn/xn-m,xn-k,n=0,1,…, where k,m∈{1,2,…}, An is a periodic sequence of fuzzy numbers, and x-d,x-d+1,…,x0 are positive fuzzy numbers with d=m,k. We show that every positive solution of this equati...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/760247 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849468225964736512 |
|---|---|
| author | Qiuli He Chunyan Tao Taixiang Sun Xinhe Liu Dongwei Su |
| author_facet | Qiuli He Chunyan Tao Taixiang Sun Xinhe Liu Dongwei Su |
| author_sort | Qiuli He |
| collection | DOAJ |
| description | We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation xn+1=maxAn/xn-m,xn-k,n=0,1,…, where k,m∈{1,2,…}, An is a periodic sequence of fuzzy numbers, and x-d,x-d+1,…,x0 are positive fuzzy numbers with d=m,k. We show that every positive solution of this equation is eventually periodic with period k+1. |
| format | Article |
| id | doaj-art-ffca552002264215a95489dbc90ac62d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ffca552002264215a95489dbc90ac62d2025-08-20T03:25:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/760247760247Periodicity of the Positive Solutions of a Fuzzy Max-Difference EquationQiuli He0Chunyan Tao1Taixiang Sun2Xinhe Liu3Dongwei Su4College of Electrical Engineering, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaGuangxi Key Laboratory of Power System Optimization and Energy Technology, Nanning, Guangxi 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaCollege of Electrical Engineering, Guangxi University, Nanning, Guangxi 530004, ChinaWe investigate the periodic nature of the positive solutions of the fuzzy max-difference equation xn+1=maxAn/xn-m,xn-k,n=0,1,…, where k,m∈{1,2,…}, An is a periodic sequence of fuzzy numbers, and x-d,x-d+1,…,x0 are positive fuzzy numbers with d=m,k. We show that every positive solution of this equation is eventually periodic with period k+1.http://dx.doi.org/10.1155/2014/760247 |
| spellingShingle | Qiuli He Chunyan Tao Taixiang Sun Xinhe Liu Dongwei Su Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation Abstract and Applied Analysis |
| title | Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation |
| title_full | Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation |
| title_fullStr | Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation |
| title_full_unstemmed | Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation |
| title_short | Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation |
| title_sort | periodicity of the positive solutions of a fuzzy max difference equation |
| url | http://dx.doi.org/10.1155/2014/760247 |
| work_keys_str_mv | AT qiulihe periodicityofthepositivesolutionsofafuzzymaxdifferenceequation AT chunyantao periodicityofthepositivesolutionsofafuzzymaxdifferenceequation AT taixiangsun periodicityofthepositivesolutionsofafuzzymaxdifferenceequation AT xinheliu periodicityofthepositivesolutionsofafuzzymaxdifferenceequation AT dongweisu periodicityofthepositivesolutionsofafuzzymaxdifferenceequation |