Periodic solutions to a heat equation with hysteresis in the source term

被引：3
作者：
Zheng, Jiashan [1 ]
Ke, Yuanyuan [2 ]
Wang, Yifu [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 69卷 / 02期
关键词：
Heat equation; Feedback control; Hysteresis; Periodic solutions; PARABOLIC PROBLEMS; MODEL; PDES;
D O I：
10.1016/j.camwa.2014.12.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a parabolic problem with hysteresis effects in the heat source, which models the feedback control. The existence of periodic solutions is proved by the viscosity approach when the heat force changes periodically in time. More precisely, with the help of the subdifferential operator theory and the Poincare map, the existence of solutions to the approximation problem is shown and the solution of the periodic problem is obtained under consideration by using a passage-to-limit procedure. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：134 / 143
页数：10
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