http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINT
Artūras Dubickas 대한수학회 2010 대한수학회보 Vol.47 No.3
In this note we study positive solutions of the mth order rational difference equation xn = (a0 +∑m i=1 aixn−i)/(b0 +∑m i=1 bixn−i),where n = m,m+1,m+2, . . . and x0, . . . , xm−1 > 0. We describe a sufficient condition on nonnegative real numbers a0, a1, . . . , am, b0, b1, . . . , bm under which every solution xn of the above equation tends to the limit (A − b0 +p(A − b0)2 + 4a0B)/2B as n ! 1, where A =∑m i=1 ai and B =∑m i=1 bi.