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BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 2، دوره 9، شماره 2، شهریور 2012، صفحه 1-12 اصل مقاله (137.01 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.186 | ||
نویسندگان | ||
Qianhong Zhang ![]() | ||
1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, P. R. China | ||
2Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, P. R. China | ||
3Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, P. R. China | ||
چکیده | ||
In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation $$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $A, B$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers. | ||
کلیدواژهها | ||
Fuzzy difference equation؛ Boundedness؛ Persistence؛ Equilibrium point؛ stability | ||
مراجع | ||
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