摘要
基于一致指数不稳定的定义,引入了Banach空间中斜演化半流非一致指数不稳定的概念,并用实例阐释了二者的关系.借助于指数稳定性的研究方法,讨论了斜演化半流非一致指数不稳定的特征,建立了其非一致指数不稳定的2个充要条件.所得结论推广了指数稳定性及一致指数不稳定性中的一些已有结果.
Based on the definition of uniform exponential instability,a skew-evolution semiflow with nonuniform exponential instability is presented in Banach spaces.An illustrating example is used to clarify the relationship between the two concepts.Exponential stability technique is applied to study the features of nonuniform exponential instability of skew-evolution semilflows.Two necessary and sufficient conditions concerning the nonuniform exponential instability of skew-evolution semiflows are given.The obtained conclusions are generalizations of the wellknown results about the exponential stability and uniform exponential instability.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2016年第2期181-183,共3页
Journal of Zhejiang University（Science Edition）
基金
湖北省自然科学基金资助项目(2014CFB629)
湖北汽车工业学院校预研基金项目(2014CFB629)
关键词
斜演化半流
非一致指数不稳定性
巴拿赫空间
指数衰退
skew-evolution semiflow
nonuniform exponential instability
Banach space
exponential decay
