Controllability of semilinear boundary problems with nonlocal initial conditions

被引：18

作者：

Boulite, S ^{[1
]}

Idrissi, A ^{[1
]}

Maniar, L ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 02期

关键词：

boundary exact controllability; population equations; nonlocal initial conditions; semilinear nonautonomous problems; evolution families; fixed point theorem;

D O I：

10.1016/j.jmaa.2005.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is the existence of solutions and controllability for semilinear boundary problems with nonlocal initial conditions. We show that the solutions are given by a variation of constants formula which allows us to study the exact controllability for this kind of problems with control and nonlinear terms at the boundary. The included application to a size structured population equation provides a motivation for abstract results. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：566 / 578

页数：13

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