Existence and Uniqueness of a Class of Linear Differential Equation of Exponential Type Pseudo Almost Anti-automorphic Solution
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.
linear differential equationpseudo almost anti-automorphic functionmild solutionCn-semigroupexponentiauy type
万方数据
维普
