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Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows |
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| Authors: | Thieu Huy Nguyen Phi Ha |
| Affiliation: | a Faculty of Applied Mathematics and Informatics, Hanoi University of Technology, Khoa Toan-Tin ung dung, Dai Hoc Bach Khoa Hanoi, 1 Dai Co Viet, Hanoi, Viet Nam b Department of Mathematics, Hanoi University of Education, Khoa Toan-Tin, Dai Hoc Su Pham Ha Noi, 136 Xuan Thuy St., Hanoi, Viet Nam |
| Abstract: | Using the method of discretization, we investigate the necessary and sufficient conditions for the existence of exponential dichotomy of linear skew-product semiflows over semiflows through the existence of discrete exponential dichotomy of the discretized linear-skew product semiflows. We then apply the obtained results to consider the roughness of exponential dichotomy of linear-skew product semiflows. |
| Keywords: | Semiflows Linear skew-product semiflows Discrete skew-product Uniform discrete dichotomy Pointwise discrete dichotomy Exponential dichotomy Perturbations |
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