摘要
给出了Banach空间中演化算子多项式膨胀性的三个概念,讨论了演化算子的非一致多项式膨胀性的积分特征.且作为应用,利用Lyapunov函数给出了相应概念的刻画.从而将演化型算子指数膨胀性理论的相关经典结论推广到了多项式膨胀的情形.
In this paper we study three polynomial expansiveness concepts for evolution operators in Banach spaces.Our main objective is to give integral characterizations for nonuniform polynomial expansiveness.As for applications We obtain a characterization in terms of Lyapunov functions.Well-known results for nonuniform exponential expansiveness are extended to the case of nonuniform polynomial expansiveness.
出处
《数学的实践与认识》
北大核心
2015年第18期236-240,共5页
Mathematics in Practice and Theory
基金
中央高校基本科研业务费专项资金(2012LWB53)
湖北省自然科学基金(2014CFB629)
校预研基金(014XY06)
