Periodicity of non-homogeneous trajectories for non-instantaneous impulsive heat equations
Texas State University, Department of Mathematics
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.
Non-homogeneous periodic trajectory, Heat equation, Non-instantaneous impulsive
Yang, P., Wang, J., & O'Regan, D. (2020). Periodicity of non-homogeneous trajectories for non-instantaneous impulsive heat equations. <i>Electronic Journal of Differential Equations, 2020</i>(18), pp. 1-7.