Michal Feckan, Kui Liu, and Jinrong Wang. (ꞷ; c)-Periodic Solutions of Non-Instantaneous Impulsive Evolution Equations. Dynamic Systems and Applications 29 (2020) No.12, 3359-3380

https://doi.org/10.46719/dsa202029125

ABSTRACT.
In this paper, we study (ꞷ; c)-periodic solutions of non-instantaneous impulsive evolution equations in Banach spaces. A non-instantaneous impulsive fundamental solution operator is introduced to formulate the representation of solutions to homogeneous and nonhomogeneous linear problems. Spectral theory, alterative theorem and adjoint method are used to study nonhomogeneous linear problem.

AMS (MOS) Subject Classification. 34L10, 34B24, 47E05.