Asymptotic behaviour to a heat equation with a delayed control in the source term

被引：0
|
作者：
Berrone, L
Mannucci, P
机构：
[1] Univ Nacl Rosario, Fac Ciencias Exactas Ing & Agrim, Dept Matemat, RA-2000 Rosario, Santa Fe, Argentina
[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
CONTROL AND CYBERNETICS | 2004年 / 33卷 / 01期
关键词：
heat equation; delayed control; Volterra integral; equation with delay;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied: By reducing the problem to a delayed Volterra integral equation with a weakly singular kernel, we find conditions on the initial datum and on the source term of the equation to control the asymptotic behaviour. of. the mean temperatures.
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页码：5 / 32
页数：28
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