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

作　　者：Qiang Li Hong Qiao 

机构地区：[1]Department of Mathematics,Shanxi Normal University,Taiyuan 030000,China [2]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China

出　　处：《Journal of Mathematical Study》2022年第4期381-397,共17页数学研究（英文）

基　　金：supported by NNSF of China(Grant Nos.11501342,11261053);China Postdoctoral Science Foundation(Grant No.2020M682140);NSF of Shanxi,China(Grant No.201901D211399);STIP(Grant No.2020L0243).

摘　　要：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.

关 键 词：Evolution equation DELAY S-asymptotically periodic mild solutions monotone iterative technique positive C_(0)-semigroup 

分 类 号：O175[理学—数学]