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.

引用

页码：5 / 32

页数：28

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