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Controllability of impulsive differential systems with nonlocal conditions |
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| Authors: | Shaochun Ji Gang Li |
| Affiliation: | a School of Mathematical Science,Yangzhou University, Yangzhou, Jiangsu 225002, PR China b Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, PR China c Library, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, PR China |
| Abstract: | The paper is concerned with the controllability of impulsive functional differential equations with nonlocal conditions. Using the measure of noncompactness and Mönch fixed-point theorem, we establish some sufficient conditions for controllability. Firstly, we require the equicontinuity of evolution system, and next we only suppose that the evolution system is strongly continuous. Since we do not assume that the evolution system generates a compact semigroup, our theorems extend some analogous results of (impulsive) control systems. |
| Keywords: | Controllability Impulsive functional differential systems Nonlocal conditions Measure of noncompactness Mild solutions |
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