Liapunov functionals and asymptotic stability in infinite delay systems
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概要
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Liapunov's direct method is used to give conditions ensuring the uniform asymptotic stability in a system of infinite delay differential equations. By introducing the concept of a seminorm having a fading memory with respect to the norm on the space of initial functions, we obtain a Liapunov functional with an upper bound larger than those traditionally given. This new approach enables us to unify several well-known theorems in the literature. Examples are provided to illustrate the application of these results.
- 東北大学大学院理学研究科数学専攻の論文
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