Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay
Year: 2022
Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 381–397
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v55n4.22.03
Journal of Mathematical Study, Vol. 55 (2022), Iss. 4 : pp. 381–397
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Evolution equation delay $S$-asymptotically periodic mild solutions monotone iterative technique positive C$_0$-semigroup.