On the exponential stability of dynamic equations on time scales |
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| Authors: | Nguyen Huu Du Le Huy Tien |
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| Institution: | Department of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi, 334 Nguyen Trai, Hanoi, Viet Nam |
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| Abstract: | In this paper, we deal with some theorems on the exponential stability of trivial solution of time-varying non-regressive dynamic equation on time scales with bounded graininess. In particular, well-known Perron's theorem is generalized on time scales. Under rather restrictive condition, that is, integral boundedness of coefficient operators, we obtain a characterization of the uniformly exponential stability. |
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| Keywords: | Exponential stability Uniformly exponential stability Time scales Perron theorem Linear dynamic equation |
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