Kodai Mathematical Journal
- Kodai Math. J.
- Volume 39, Number 2 (2016), 276-289.
Existence and uniqueness of periodic solutions for parabolic equation with nonlocal delay
This paper deals with the existence and uniqueness of time periodic solutions for the general periodic parabolic equation boundary problem with nonlocal delay. We apply operator semigroup theory and monotone iterative technique of lower and upper solutions to obtain the existence and uniqueness of ω-periodic mild solutions of some abstract evolution equation under some quasimonotone conditions. In the end, applying our abstract results to parabolic equation with nonlocal delay, we get the existence and uniqueness of ω-periodic solution, which generalize the recent conclusions on this issue.
Kodai Math. J., Volume 39, Number 2 (2016), 276-289.
First available in Project Euclid: 6 July 2016
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Li, Qiang; Li, Yongxiang; Chen, Pengyu. Existence and uniqueness of periodic solutions for parabolic equation with nonlocal delay. Kodai Math. J. 39 (2016), no. 2, 276--289. doi:10.2996/kmj/1467830137. https://projecteuclid.org/euclid.kmj/1467830137