Exact null controllability of non-autonomous functional evolution systems with nonlocal conditions |
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Authors: | Xianlong FU Yu ZHANG |
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Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China |
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Abstract: | In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in various literatures is not required here. An example is also provided to show an application of the obtained result. |
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Keywords: | Exact null controllability nonlocal condition linear evolution system Schauder fixed point theorem |
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