Nonuniform Exponential Dichotomy on the Half-Line via Evolution Semigroups
Abstract We establish a sufficient condition for the existence of a nonuniform exponential dichotomy of an evolution family on the half-line in terms of evolution semigroups. Such endeavour is not at all of a formal type and our proof is new even in the particular case of uniform exponential dichotomy.
Authors
- Liviu Horia Popescu (ORCID: https://orcid.org/0000-0001-5786-748X)
- Nicolae Lupa (ORCID: https://orcid.org/0000-0001-8184-6160)
Institutions
- University of Oradea (RO)
- Polytechnic University of Timişoara (RO)
Publication Details
- Journal
- Mediterranean Journal of Mathematics
- Published
- 2025-02-27
- DOI
- https://doi.org/10.1007/s00009-025-02820-7
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00