A variation of parameters formula for nonautonomous linear impulsive differential equations with piecewise constant arguments of generalized type

Abstract

In this work, we give a variation of parameters formula for nonautonomous linear impulsive differential equations with piecewise constant arguments of generalized type. We cover several cases of differential equations with deviated arguments investigated before as particular cases. We also give some examples showing the applicability of our results.

Keywords

• variation of parameters formula
• piecewise constant argument
• linear functional differential equations
• depcag
• idepcag