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On an Exponential-Type Fuzzy Difference Equation

Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation [subscript]xn+1[/subscript] =(1-[superscript]∑j=0k-1[/superscript] [subscript]xn-j[...

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Bibliographic Details
Published in:Advances in difference equations 2010-01, Vol.2010 (1), p.196920-196920
Main Authors: Stefanidou, G, Papaschinopoulos, G, Schinas, CJ
Format: Article
Language:English
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Summary:Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation [subscript]xn+1[/subscript] =(1-[superscript]∑j=0k-1[/superscript] [subscript]xn-j[/subscript] )(1-[superscript]e-A[subscript]xn[/subscript] [/superscript] ) , k∈{2,3,...} , n=0,1,... , where A and the initial values [subscript]x-k+1[/subscript] ,[subscript]x-k+2[/subscript] ,...,[subscript]x0[/subscript] belong in a class of fuzzy numbers.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2010-196920