63 research outputs found
Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation
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Global analysis of solutions of xn+1=βxn+δxn−2A+Bxn+Cxn−1
Get PDFAbstractWe study the global character of solutions of the third order rational difference equationxn+1=βxn+δxn−2A+Bxn+Cxn−1,n=0,1,…, where the parameters β, δ, A are nonnegative, β+δ>0, B,C>0, the initial conditions x−2,x−1,x0 are nonnegative real numbers and the denominator is always positive
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