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Global attractivity in a nonlinear second‐order difference equation
Author(s) -
Kocic V. L.,
Ladas G.
Publication year - 1995
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160480907
Subject(s) - mathematics , nonlinear system , order (exchange) , mathematical analysis , physics , finance , quantum mechanics , economics
In this paper we obtain a global attractivity result for the positive equilibrium of a nonlinear second‐order difference equation of the form x n +1 = f(x n , x n+1 ), n = 0, 1, ⃛ The result applies to the difference equation x n +1 =A+bx n /A+ n−1 , n = 0, 1, ⃛ Where a, b, A ϵ (0, ∞). © 1996 John Wiley & Sons, Inc.
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