APPROXIMATE CONTROLLABILITY OF SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HILLE-YOSIDA OPERATOR

被引：0

作者：

Lin, Kai-Biao ^{[1
]}

Liu, Hsiang ^{[2
]}

Pang, Chin-Tzong ^{[3
,4
]}

机构：

[1] Xiamen Univ Technol, Sch Comp &Informat Engn, Xiamen 361024, Peoples R China

[2] Yuan Univ, Dept Informat Management, Chungli 32003, Taiwan

[3] Yuan Ze Univ, Dept Informat Management, Taoyuan, Taiwan

[4] Yuan Ze Univ, Innovat Ctr Big Data & Digital Convergence, Taoyuan, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 02期

关键词：

Approximate controllability; Banach fixed-point theorem; extrapolation space; Hille-Yosida operator; mild solution; BANACH-SPACES; INFINITE DELAY; INTEGRODIFFERENTIAL-SYSTEMS; NONLOCAL CONDITIONS; ABSTRACT SPACE; INCLUSIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the approximate controllability of a semilinear functional differential equation where the linear part is non-densely defined and satisfies the Hille-Yosida condition on a Banach space X. By considering the extrapolated semigroup corresponding to the linear part and applying Banach fixed-point theorem, we deduce fairly general conditions under which the semi linear functional differential equation is approximately controllable. There will as well be an application of our results to reaction-diffusion equation with a control term addressed.

引用

页码：275 / 285

页数：11

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