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(h, k)-Dichotomy and Lyapunov Type Norms

Violeta Crai

Violeta Crai

Department of Mathematics, West University of TimişoaraTimişoara, Romania
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Crai, Violeta
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Mihail Megan

Mihail Megan

Academy of Romanian Scientists, West University of Timişoara, Faculty of Mathematics and Computer SciencesTimişoara, Romania
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Megan, Mihail
  
Apr 30, 2020
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Published Online: Apr 30, 2020
Page range: 115 - 130
DOI: https://doi.org/10.2478/awutm-2018-0019
Keywords
© 2018 Violeta Crai et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper considers a general concept of nonuniform (h, k)-dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of norms compatible with the dichotomy projectors are given.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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