Permanence for a Generalized Discrete Neural Network System
نویسندگان
چکیده
منابع مشابه
Research Article Permanence for a Generalized Discrete Neural Network System
We prove that the system of difference equations x n+1 = λix n + fi(αix n − βix(i+1) n−1 ), i∈ {1,2, . . . ,k}, n ∈ N, (we regard that x n = x n ) is permanent, provided that αi ≥ βi, λi+1 ∈ [0,βi/αi), i ∈ {1,2, . . . ,k}, fi : R→ R, i ∈ {1,2, . . . ,k}, are nondecreasing functions bounded from below and such that there are δi ∈ (0,1) andM > 0 such that fi(αix)≤ δix, i∈ {1,2, . . . ,k}, for all...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2007
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2007/89413