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| Time-Periodic Fitzhugh-Nagumo Equation and the Optimal Control Problems |
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Citation： |
Hanbing LIU,Wenqiang LUO,Shaohua LI.Time-Periodic Fitzhugh-Nagumo Equation and the Optimal Control Problems[J].Chinese Annals of Mathematics B,2021,42(3):471~486 |
| Page view： 543
Net amount： 528 |
Authors： |
Hanbing LIU; Wenqiang LUO;Shaohua LI |
Foundation： |
Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (CUGSX01). |
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| Abstract： |
In this work, the authors considered the periodic optimal control problem of Fitzhugh-Nagumo equation. They firstly prove the existence of time-periodic solution to Fitzhugh-Nagumo equation. Then they show the existence of optimal solution to the optimal control problem, and finally the first order necessary condition is obtained by constructing an appropriate penalty function. |
Keywords： |
Fitzhugh-Nagumo equation, Time-periodic, Optimal control |
Classification： |
35B10, 35B37, 49K20 |
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