Controllability of semilinear boundary problems with nonlocal initial conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:316

Article

Boulite, S ; Idrissi, A ; Maniar, L

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

DOI  :  10.1016/j.jmaa.2005.05.006

来源: Elsevier

【 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.

【 授权许可】

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