2018/01/02 by Qiang Li, Li, Qiang, Mei Wei +1
Mathematics · Engineering · #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #Differential Equations and Numerical Methods
paper · pdf · doi:10.48550/arxiv.1801.00575
In this paper, we are devoted to consider the periodic problem for the impulsive evolution equations with delay in Banach space. By using operator semigroups theory and fixed point theorem, we establish some new existence theorems of periodic mild solutions for the equations. In addition, with the aid of an integral inequality with impulsive and delay, we present essential conditions on the nonlinear and impulse functions to guarantee that the equations have an asymptotically stable ω-periodic mild solution.