Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions


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Abstract

We consider approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. In this study, we use the theory of fractional powers and α-norms, so our results can be applied to systems where nonlinear terms include derivatives of spatial variables. We formulate and prove sufficient conditions for approximate controllability. We also give a sample application of our results.

About the authors

Xianlong Fu

East Chinese Pedagogical University

Author for correspondence.
Email: xlfu@math.ecnu.edu.cn
China, Shanghai

Huang Rong

East Chinese Pedagogical University

Email: xlfu@math.ecnu.edu.cn
China, Shanghai

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