Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Approximate Controllability for Semilinear Neutral Differential Systems in Hilbert Spaces

  • Jeong, Jin-Mun (Department of Applied Mathematics, Pukyong National University) ;
  • Park, Ah-Ran (Department of Applied Mathematics, Pukyong National University) ;
  • Son, Sang-Jin (Department of Applied Mathematics, Pukyong National University)
  • Received : 2020.04.16
  • Accepted : 2020.11.16
  • Published : 2021.09.30
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Abstract

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.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2019R1F1A1048077).

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