Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 18, pp. 1-7.

Title: Periodicity of non-homogeneous trajectories for non-instantaneous 
       impulsive heat equations

Authors: Peng Yang    (Guizhou Univ., Guiyang, Guizhou, China)
         Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)
         Donal O'Regan (National Univ. of Ireland, Galway, Ireland)

Abstract:
 In this article, we introduce a non-instantaneous impulsive operator
 associated with the heat semigroup and give some basic properties.
 We derive an abstract formula for the solutions to non-instantaneous
 impulsive heat equations. Also we show the existence and uniqueness
 of the non-homogeneous periodic trajectory.
 
Submitted July 25,  2019. Published February 13, 2020.
Math Subject Classifications: 35K05
Key Words: Non-homogeneous periodic trajectory; heat equation;
           non-instantaneous impulsive.