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Approximate Controllability for Semilinear Neutral Differential Systems in Hilbert Spaces

손상진|박아란|정진문
경북대학교 자연과학대학 수학과|2021.09|Kyungpook Mathematical Journal|제61권 제3호|pp. 559-581

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키워드

neutral differential equationcontroller operatorsemilinear equationapproximate controllabilityreachable setlocal lipschitz continuity
주제분류수학

초록

In this paper, we establish the existence of solutions and the approximate controllability for the semilinear neutral di erential 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.

Abstract

In this paper, we establish the existence of solutions and the approximate controllability for the semilinear neutral di erential 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.

참고문헌 (25)

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관련 논문AI추천

Controllability for trajectories of semilinear functional differential equations강용한, 정진문대한수학회 · 대한수학회보2018 · 제55권 제1호Null Controllability of Semilinear Integrodi erential Control Systems in Hilbert Spaces정진문, Ah-Ran Park경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Existence and Regularity for Semilinear Neutral Differential Equations in Hilbert Spaces정진문영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호Approximate controllability for differential equations with quasi-autonomous operators강용한, 정진문, 주은영대한수학회 · 대한수학회보2011 · 제48권 제1호Controllability of Semilinear Neutral Functional Differential Evolution Equations with Nonlocal Conditions권영철, 박동근, 박소현, 박종서한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호Boundary controllability of semilinear neutral evolution systems박종열, 정재욱대한수학회 · 대한수학회보2011 · 제48권 제4호

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