Global asymptotic stability in a class of generalized Putnam equations

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منابع مشابه

Global asymptotic stability in a class of generalized Putnam equations

It was conjectured that for every integer m 3 the unique equilibrium c = 1 of the generalized Putnam equation xn+1 = ∑m−2 i=0 xn−i + xn−m+1xn−m xnxn−1 + ∑m i=2 xn−i , n= 0,1,2, . . . , with positive initial conditions is globally asymptotically stable. In this paper, we prove this conjecture. © 2005 Elsevier Inc. All rights reserved.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2006

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2005.09.049