This manuscript extends the idea of Pseudo almost Automorphic(𝒫𝒫𝒫𝒫𝒫𝒫) functions to Piecewise Continuous (PC)-𝒫𝒫𝒫𝒫𝒫𝒫 functions in the framework of impulsive systems. Some important properties of PC- 𝒫𝒫𝒫𝒫𝒫𝒫 functions are established. Utilizing these properties and Sadovskii fixed point theorem, we prove existence and uniqueness theorem for PC-𝒫𝒫𝒫𝒫𝒫𝒫 mild solutions to impulsive differential equations in a Banach space. Suitable examples are given to exhibit our analytic findings.
Volume 11 | 11-Special Issue
Pages: 788-799
DOI: 10.5373/JARDCS/V11SP11/20193097