Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay

Authors

  • Qiang Li Department of Mathematics, Shanxi Normal University, Taiyuan 030000, China
  • Hong Qiao Department of Mathematics, Shanxi Normal University, Taiyuan 030000, China

DOI:

https://doi.org/10.4208/jms.v55n4.22.03

Keywords:

Evolution equation, delay, $S$-asymptotically periodic mild solutions, monotone iterative technique, positive C$_0$-semigroup.

Abstract

This paper is concerned with $S$-asymptotically periodic problem of evolution equation with delay in ordered Banach space. Under some weaker assumptions, we construct monotone iterative method in the presence of the lower and upper solutions to the delayed evolution equation, and obtain the existence of maximal and minimal $S$-asymptotically periodic mild solutions. Finally, we give an example to exhibit the practicability of our abstract results.

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Published

2022-11-07

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Issue

Vol. 55 No. 4 (2022)

Section

Articles

How to Cite

Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay. (2022). Journal of Mathematical Study, 55(4), 381-397. https://doi.org/10.4208/jms.v55n4.22.03