This manuscript extends the idea of Pseudo almost Automorphic(ð’«ð’«ð’«ð’«ð’«ð’«) functions to Piecewise Continuous (PC)-ð’«ð’«ð’«ð’«ð’«ð’« functions in the framework of impulsive systems. Some important properties of PC- ð’«ð’«ð’«ð’«ð’«ð’« functions are established. Utilizing these properties and Sadovskii fixed point theorem, we prove existence and uniqueness theorem for PC-ð’«ð’«ð’«ð’«ð’«ð’« 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