To investigate the dynamic properties of pseudo almost anti-automorphic mild solutions of exponential growth type in differential systems,this paper proposes an extension of the concept of pseudo almost automorphic functions to pseudo almost anti-automorphic functions.The study delves into the properties of these functions and establishes that the set of all pseudo almost anti-automorphic functions forms a Banach space equipped with an infinite norm.Furthermore,by applying relevant semigroup theories,the paper derives sufficient conditions for the uniqueness and existence of pseudo almost anti-automorphic mild solutions to a class of linear differential equations exhibiting exponential growth.
关键词
线性微分方程/伪概反自守函数/温和解/C0-半群/指数增长型
Key words
linear differential equation/pseudo almost anti-automorphic function/mild solution/Cn-semigroup/exponentiauy type
维普
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