TY - JOUR
T1 - On Rational Recursive Sequences
AU - Kocic, null
AU - Ladas, null
AU - Rodrigues, I. W.
PY - 1993/1/1
Y1 - 1993/1/1
N2 - We study the global asymptotic behavior, the oscillatory character, and the periodic nature of all positive solutions of the recursive sequences xn + 1 = (a + ∑k - 1 i = 0bixn - i)/xn - kn = 0, 1, 2, …, and xn + 1 = (a + bxn)/(A + xn - k), n = 0, 1, 2, …, where a, b, b0, …, bk - 1 and A are nonnegative numbers and k is a positive integer. © 1993 Academic Press, Inc.
AB - We study the global asymptotic behavior, the oscillatory character, and the periodic nature of all positive solutions of the recursive sequences xn + 1 = (a + ∑k - 1 i = 0bixn - i)/xn - kn = 0, 1, 2, …, and xn + 1 = (a + bxn)/(A + xn - k), n = 0, 1, 2, …, where a, b, b0, …, bk - 1 and A are nonnegative numbers and k is a positive integer. © 1993 Academic Press, Inc.
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U2 - 10.1006/jmaa.1993.1057
DO - 10.1006/jmaa.1993.1057
M3 - Article
SN - 0022-247X
VL - 173
SP - 127
EP - 157
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -