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On the Behavior of the Positive Solutions of the System of Two Higher-Order Rational Difference Equations
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作者 Qi Wang gengrong zhang Linlin Fu 《Applied Mathematics》 2013年第8期1220-1225,共6页
We study the convergence of the positive solutions of the system of the following two difference equations: where K is a positive integer, the parameters?A,B,?α, β? and the initial conditions are positive real numbe... We study the convergence of the positive solutions of the system of the following two difference equations: where K is a positive integer, the parameters?A,B,?α, β? and the initial conditions are positive real numbers. Our results generalize well known results in [1,2]. 展开更多
关键词 System of DIFFERENCE EQUATIONS Convergence Positive Solution BEHAVIOR
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Second Descendible Self-Mapping with Closed Periodic Points Set
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作者 gengrong zhang Zhanjiang Ji Fanping Zeng 《Applied Mathematics》 2013年第7期969-971,共3页
Let and f:Xn→Xn be a continuous map. If f is a second descendible map, then P(f) is closed if and only if one of the following hold: 1);2) For any z ε R (f), there exists a yεw (z,f) ∩ P(f) such that every point o... Let and f:Xn→Xn be a continuous map. If f is a second descendible map, then P(f) is closed if and only if one of the following hold: 1);2) For any z ε R (f), there exists a yεw (z,f) ∩ P(f) such that every point of the set orb (y,f) is a isolated point of the set w (z,f);3) For any z ε R(f), the set w (z,f) is finite;4) For any z ε R(f), the set w' (z,f) is finite. The consult give another condition of f with closed periodic set other than [1]. 展开更多
关键词 Periodic POINT RECURRENT POINT w-Limit POINT SECOND Descendible Map
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