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《Mathematics in Practice and Theory》 2013-17
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The Stability of a Sort of Second Order Rational Difference Equation

YU Ting-zhong;College of Mathematics and Computer Science,Bijie University;  
In this paper,we investigate the following nonlinear second order rational difference equation y_(n+1)=(α+y_n)/(β+y_(n+1)+y_n/y_(n-1) Basing on detailed analysis and research of different parameters a and P,we get the complete stability conclusions of the positive solution of the above equation.Subsequently,with computer programming simulation calculation,we calculate several numerical experimentations,and the simulation calculation results support our conclusion.Finally,by means of computer programming analog,this paper computes some cases of numerical experiment,with the analog computation result further supporting the conclusion of this paper.
【CateGory Index】: O175.7;TP391.9
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