Approximate Controllability for Semilinear Neutral Differen- tial Systems in Hilbert Spaces

被引：0

作者：

Jeong, Jin-Mun ^{[1
]}

Park, Ah-Ran ^{[1
]}

Son, Sang-Jin ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2021年 / 61卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

approximate controllability; semilinear equation; neutral differential equation; local lipschitz continuity; controller operator; reachable set; INTEGRODIFFERENTIAL EQUATIONS; NULL CONTROLLABILITY; INCLUSIONS; DELAY;

D O I：

10.5666/KMJ.2021.61.3.559

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of solutions and the approximate controllability for the semilinear neutral differential control system under natural assumptions such as the local Lipschitz continuity of nonlinear term. First, we deal with the regularity of solutions of the neutral control system using fractional powers of operators. We also consider the approximate controllability for the semilinear neutral control equation, with a control part in place of a forcing term, using conditions for the range of the controller without the inequality condition as in previous results.

引用

页码：559 / 581

页数：23

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