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福州大学学报(自然科学版) 2018
微分方程和差分方程指数型二分性条件的等价
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Abstract:
研究微分方程和其对应的差分方程指数型二分性的条件,利用有界增长、基解有界增长以及基解负向和正向有界增长的概念,得到了这两种指数型二分性等价性的有关命题.
The conditions for the exponential dichotomy of differential equations and difference equations are studied in this paper. Using bounded growth of differential equations,bounded growth of fundamental solution,negative and positive bounded growth of fundamental solutions,we get the equivalence of conditions for two definitions of exponential dichotomy