JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (6): 10-21.doi: 10.6040/j.issn.1671-9352.0.2020.571

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Existence of IS-asymptotically periodic mild solutions for a class of impulsive evolution equations

YUAN Tian-jiao, LI Qiang*   

  1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041000, Shanxi, China
  • Published:2021-06-03

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Abstract: In this paper, a class of evolution equations with non-instantaneous impulses in a Banach space X is considered. Under the assumption that the upper and lower solutions of the evolution equation with non-instantaneous impulses exist, a monotone iterative method is constructed and the existence and uniqueness of IS-asymptotically ω-periodic mild solutions are obtained. Finally, the application of the main results in partial differential equations is given.

Key words: non-instantaneous impulse, IS-asymptotically periodic mild solution, positive C0-semigroup, monotone iterative technique, existence

CLC Number: 

  • O175.26
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