TY - JOUR
T1 - Approximate Controllability of Semi-Linear Neutral Integro-Differential Equations with Nonlocal Conditions
AU - Huang, Hai
AU - Fu, Xianlong
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - In this work, by theory of analytic semi-groups, fractional powers of operators, and resolvent operator theory, we study the approximate controllability of a semi-linear neutral integro-differential equation with nonlocal conditions. Under the assumption of controllability on the corresponding linear system, we obtain the sufficient conditions for the considered semi-linear integro-differential system. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal condition appearing in literature is not required here. An example is also provided to illustrate the application of the obtained results.
AB - In this work, by theory of analytic semi-groups, fractional powers of operators, and resolvent operator theory, we study the approximate controllability of a semi-linear neutral integro-differential equation with nonlocal conditions. Under the assumption of controllability on the corresponding linear system, we obtain the sufficient conditions for the considered semi-linear integro-differential system. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal condition appearing in literature is not required here. An example is also provided to illustrate the application of the obtained results.
KW - Approximate controllability
KW - Fractional power operator
KW - Neutral integro-differential equation
KW - Nonlocal condition
KW - Resolvent operator
UR - https://www.scopus.com/pages/publications/85064249518
U2 - 10.1007/s10883-019-09438-5
DO - 10.1007/s10883-019-09438-5
M3 - 文章
AN - SCOPUS:85064249518
SN - 1079-2724
VL - 26
SP - 127
EP - 147
JO - Journal of Dynamical and Control Systems
JF - Journal of Dynamical and Control Systems
IS - 1
ER -