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Topological Classification and Structural Stability of Strongly Continuous Groups

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Abstract

The present paper is devoted to the study of some qualitative properties of C 0-groups via topological equivalence, also called conjugacy. The special case of the evolution groups is analysed. We show that hyperbolicity implies structural stability. Our constructions improve existing similar results for groups with bounded generators, and apply to linear differential equations with unbounded coefficient operator.

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  1. Department of Mathematics and Informatics, University of Oradea, Oradea, Romania

    Liviu Horia Popescu

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  1. Liviu Horia Popescu
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Correspondence to Liviu Horia Popescu.

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Popescu, L.H. Topological Classification and Structural Stability of Strongly Continuous Groups. Integr. Equ. Oper. Theory 79, 355–375 (2014). https://doi.org/10.1007/s00020-014-2152-y

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  • DOI: https://doi.org/10.1007/s00020-014-2152-y

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