期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 313, 期 2, 页码 678-688出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.04.001
关键词
difference equations; stability; Lyapunov's direct method
In this paper we consider the system of difference equations x(n+1) = f(n)(x(n)), f(n)(0) = 0, n = 0, 1, 2,.... This system has the trivial (zero) solution x(n) = 0. Sufficient conditions of its asymptotic stability are obtained in the cases when functions fu (x) are periodic and almost periodic in n (c) 2005 Elsevier Inc. All rights reserved.
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