演化半群在半线上的广义指数行为

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.14

Nicolae Lupa, L. Popescu

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引用次数: 0

摘要

“我们修改了与半线上进化族相关的进化半群的经典概念，以适应线性流动可能不符合均匀指数增长的限制假设的一般情况。我们研究了相应发生器的谱性质与进化族的广泛行为之间的联系。因此，我们证明了可能的不可逆进化族的广义指数二分法在足够小的线性扰动下仍然存在。

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"Generalized exponential behavior on the half-line via evolution semigroups"

"We modify the classical concept of an evolution semigroup associated to an evolution family on the half-line to fit to the general case when linear flows may not agree with the restricted hypothesis of uniform exponential growth. We study the connections between spectral properties of the corresponding generator and a wide class of behavior of the evolution family. As a consequence, we prove that the generalized exponential dichotomy of possible non-invertible evolution families persists under sufficiently small linear perturbations."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.