Several characterizations for the nonuniform power stability of the linear difference equations in Banach spaces were given. The well-known results for the power instability and the exponential sta⁃bility were extended.%给出了Banach空间中线性差分方程的非一致幂稳定性的若干刻画,推广了幂不稳定性及指数稳定性中的相关经典结论。
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