一个有理差分方程组正解的全局渐近性质
GlobalAsymptoticBehaviorofPositiveSolutionstotheSystemofRationalDifferenceEquations
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摘要: 讨论下列有理差分方程组xn+1 =A + xnyn-1 +yn-2 yn+1 =B + ynxn-1 +xn-2 n =0,1,…正解的持久性及正解的全局渐近表现.其中:A,B ∈ (12,∞),x-i ∈ (0,∞),y-i ∈ (0,∞),i=0,1,2.Abstract: Inthispaper,westudythepersistenceandglobalasymptoticbehaviorofthepositivesolutionsforasystemoftworationaldifferenceequationsxn+1 =A + xnyn-1 +yn-2 yn+1 =B + ynxn-1 +xn-2 n=0,1,…whereA,B ∈ (12,∞),x-i ∈ (0,∞);y-i ∈ (0,∞),i=0,1,2.
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