Piecewise asymptotically almost periodic solution of neutral Volterra integro-differential equations with impulsive effects

Authors : Zhinan XIA

Pages : 1656-1672

View : 12 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we investigate the existence and uniqueness ofa piecewise asymptotically almost periodic mild solution tononautonomous neutral Volterra integro-differential equations withimpulsive effects in Banach space. The working tools are based onthe Krasnoselskii`s fixed point theorem and semigroup theory. Inorder to illustrate our main results, we study the piecewiseasymptotically almost periodic solution of the impulsive partialdifferential equations with Dirichlet conditions.
Keywords : Neutral Volterra integro differential equations, impulsive effects, asymptotically almost periodicity, Krasnoselskii`s fixed point theorem