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ASYMPTOTIC PROPERTIES OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

机译:Banach空间中泛函微分方程的渐近性质。

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The paper is devoted to the asymptotic properties of functional differential equations in Banach spaces.The criteria of the invariant and attracting sets are obtained. Particularly,the sufficient condition of asymptotic stability of the equilibrium point is given as the system has an equilibrium point.Several examples are also worked out to demonstrate the validity of theresults.
机译:本文致力于Banach空间中泛函微分方程的渐近性质,得到了不变集和吸引集的判据。特别地,当系统具有一个平衡点时,给出了平衡点渐近稳定的充分条件。还通过几个例子证明了结果的有效性。

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