Approximate Controllability of Semi-Linear Neutral Integro-Differential Equations with Nonlocal Conditions View Full Text


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Article Info

DATE

2019-04-01

AUTHORS

Hai Huang, Xianlong Fu

ABSTRACT

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. More... »

PAGES

1-21

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http://dx.doi.org/10.1007/s10883-019-09438-5

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