APPROXIMATE CONTROLLABILITY FOR NONAUTONOMOUS INTEGRODIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

被引：0

作者：

Diop, Mamadou abdoul ^{[1
]}

Elghandouri, Mohammed ^{[2
]}

Ezzinbi, Khalil ^{[2
]}

机构：

[1] Gaston Berger Univ, Dept Math, St Louis, Senegal

[2] Cadi Ayyad Univ, Dept Math, Marrakech, Morocco

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2024年 / 36卷 / 03期

关键词：

approximate controllability; nonautonomous equations; integrodifferential equations; state-dependent delay; resolvent operators; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ALPHA-NORM; POPULATION; EXISTENCE; MODEL; STABILITY; SYSTEMS; GROWTH; STAGE;

D O I：

10.1216/jie.2024.36.263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of mild solutions and the approximate controllability for nonautonomous integrodifferential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent operator theory to prove the approximate controllability of the nonlinear case. An example of the one-dimensional heat equation with memory is given to illustrate the basic idea our results.

引用

页码：263 / 298

页数：36

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