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arXiv 0804.1479math.CA
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巴拿赫空间上斜发展半流的指数稳定性

On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces

Codruta Stoica

摘要:

本文着重讨论了巴拿赫空间上的斜发展半流的稳定性,它是由发展半流和发展上圈定义的,推广了我们在前一篇文章中引入的概念。给出了这种渐近性质的几个一般刻画,从中可以推导出稳定性理论的一些著名结果。给出了在均匀和非均匀情况下的统一处理方法。主要结果也制定在离散时间。

英文摘要:

The paper emphasizes the property of stability for skew-evolution semiflows on Banach spaces, defined by means of evolution semiflows and evolution cocycles and which generalize the concept introduced by us in a previous paper. There are presented several general characterizations of this asymptotic property out of which can be deduced well known results of the stability theory. A unified treatment in the uniform and in the nonuniform setting is given. The main results are also formulated in discrete time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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